How to solve 4x-(2x-8)=5(1+2x)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 4x-(2x-8)=5(1+2x) | Equatix

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Unit Circle

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Conic Sections

Sequences & Series

Descriptive Statistics

Eigenvalues & Eigenvectors

Linear Transformations

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$4x-(2x-8)=5(1+2x)$$

Solve for x

$x=\frac{3}{8}=0.375$

Steps for Solving Linear Equation

To find the opposite of $2x-8$, find the opposite of each term.

$$4x-2x-\left(-8\right)=5\left(1+2x\right)$$

The opposite of $-8$ is $8$.

$$4x-2x+8=5\left(1+2x\right)$$

Combine $4x$ and $-2x$ to get $2x$.

$$2x+8=5\left(1+2x\right)$$

Use the distributive property to multiply $5$ by $1+2x$.

$$2x+8=5+10x$$

Subtract $10x$ from both sides.

$$2x+8-10x=5$$

Combine $2x$ and $-10x$ to get $-8x$.

$$-8x+8=5$$

Subtract $8$ from both sides.

$$-8x=5-8$$

Subtract $8$ from $5$ to get $-3$.

$$-8x=-3$$

Divide both sides by $-8$.

$$x=\frac{-3}{-8}$$

Fraction $\frac{-3}{-8}$ can be simplified to $\frac{3}{8}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{8}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for x

Steps for Solving Linear Equation