Solve 5(3 - 2x) + 4(1 + 7x) = 8(3x - 4) | 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

$$5(3-2x)+4(1+7x)=8(3x-4)$$

Solve for x

$x = \frac{17}{2} = 8\frac{1}{2} = 8.5$

Steps for Solving Linear Equation

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

$$15-10x+4\left(1+7x\right)=8\left(3x-4\right)$$

Use the distributive property to multiply $4$ by $1+7x$.

$$15-10x+4+28x=8\left(3x-4\right)$$

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

$$19-10x+28x=8\left(3x-4\right)$$

Combine $-10x$ and $28x$ to get $18x$.

$$19+18x=8\left(3x-4\right)$$

Use the distributive property to multiply $8$ by $3x-4$.

$$19+18x=24x-32$$

Subtract $24x$ from both sides.

$$19+18x-24x=-32$$

Combine $18x$ and $-24x$ to get $-6x$.

$$19-6x=-32$$

Subtract $19$ from both sides.

$$-6x=-32-19$$

Subtract $19$ from $-32$ to get $-51$.

$$-6x=-51$$

Divide both sides by $-6$.

$$x=\frac{-51}{-6}$$

Reduce the fraction $\frac{-51}{-6}$ to lowest terms by extracting and canceling out $-3$.

$$x=\frac{17}{2}$$