How to solve 15=2(7x-1)+2(x-1)

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 15=2(7x-1)+2(x-1) | 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

$$15=2(7x-1)+2(x-1)$$

Solve for x

$x = \frac{19}{16} = 1\frac{3}{16} = 1.1875$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $7x-1$.

$$15=14x-2+2\left(x-1\right)$$

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

$$15=14x-2+2x-2$$

Combine $14x$ and $2x$ to get $16x$.

$$15=16x-2-2$$

Subtract $2$ from $-2$ to get $-4$.

$$15=16x-4$$

Swap sides so that all variable terms are on the left hand side.

$$16x-4=15$$

Add $4$ to both sides.

$$16x=15+4$$

Add $15$ and $4$ to get $19$.

$$16x=19$$

Divide both sides by $16$.

$$x=\frac{19}{16}$$

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