Solve -6(3-4x)+2x=8(x+11) | 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

$$-6(3-4x)+2x=8(x+11)$$

Solve for x

$x = \frac{53}{9} = 5\frac{8}{9} \approx 5.888888889$

Steps for Solving Linear Equation

Use the distributive property to multiply $-6$ by $3-4x$.

$$-18+24x+2x=8\left(x+11\right)$$

Combine $24x$ and $2x$ to get $26x$.

$$-18+26x=8\left(x+11\right)$$

Use the distributive property to multiply $8$ by $x+11$.

$$-18+26x=8x+88$$

Subtract $8x$ from both sides.

$$-18+26x-8x=88$$

Combine $26x$ and $-8x$ to get $18x$.

$$-18+18x=88$$

Add $18$ to both sides.

$$18x=88+18$$

Add $88$ and $18$ to get $106$.

$$18x=106$$

Divide both sides by $18$.

$$x=\frac{106}{18}$$

Reduce the fraction $\frac{106}{18}$ to lowest terms by extracting and canceling out $2$.

$$x=\frac{53}{9}$$