Solve 3(2 - 5x) - 2(1 - 6x) = 1 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

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

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$3(2-5x)-2(1-6x)=1$$

Solve for x

$x=1$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $2-5x$.

$$6-15x-2\left(1-6x\right)=1$$

Use the distributive property to multiply $-2$ by $1-6x$.

$$6-15x-2+12x=1$$

Subtract $2$ from $6$ to get $4$.

$$4-15x+12x=1$$

Combine $-15x$ and $12x$ to get $-3x$.

$$4-3x=1$$

Subtract $4$ from both sides.

$$-3x=1-4$$

Subtract $4$ from $1$ to get $-3$.

$$-3x=-3$$

Divide both sides by $-3$.

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

Divide $-3$ by $-3$ to get $1$.

$$x=1$$