Solve 5(1-2x)+4(2-x)=-29 | Equatix - Math Solver

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$5(1-2x)+4(2-x)=-29$$

Solve for x

$x=3$

Steps for Solving Linear Equation

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

$$5-10x+4\left(2-x\right)=-29$$

Use the distributive property to multiply $4$ by $2-x$.

$$5-10x+8-4x=-29$$

Add $5$ and $8$ to get $13$.

$$13-10x-4x=-29$$

Combine $-10x$ and $-4x$ to get $-14x$.

$$13-14x=-29$$

Subtract $13$ from both sides.

$$-14x=-29-13$$

Subtract $13$ from $-29$ to get $-42$.

$$-14x=-42$$

Divide both sides by $-14$.

$$x=\frac{-42}{-14}$$

Divide $-42$ by $-14$ to get $3$.

$$x=3$$