Solve 5x - (3x - 1) - 6(7 - x) | 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

$$5x-(3x-1)-6(7-x)$$

Evaluate

$8x-41$

Solution Steps

To find the opposite of $3x-1$, find the opposite of each term.

$$5x-3x-\left(-1\right)-6\left(7-x\right)$$

The opposite of $-1$ is $1$.

$$5x-3x+1-6\left(7-x\right)$$

Combine $5x$ and $-3x$ to get $2x$.

$$2x+1-6\left(7-x\right)$$

Use the distributive property to multiply $-6$ by $7-x$.

$$2x+1-42+6x$$

Subtract $42$ from $1$ to get $-41$.

$$2x-41+6x$$

Combine $2x$ and $6x$ to get $8x$.

$$8x-41$$

Expand

$8x-41$

Solution Steps

To find the opposite of $3x-1$, find the opposite of each term.

$$5x-3x-\left(-1\right)-6\left(7-x\right)$$

The opposite of $-1$ is $1$.

$$5x-3x+1-6\left(7-x\right)$$

Combine $5x$ and $-3x$ to get $2x$.

$$2x+1-6\left(7-x\right)$$

Use the distributive property to multiply $-6$ by $7-x$.

$$2x+1-42+6x$$

Subtract $42$ from $1$ to get $-41$.

$$2x-41+6x$$

Combine $2x$ and $6x$ to get $8x$.

$$8x-41$$