Solve 2(7x + 11) - 5x = 5x | 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

$$2(7x+11)-5x=5x$$

Solve for x

$x = -\frac{11}{2} = -5\frac{1}{2} = -5.5$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $7x+11$.

$$14x+22-5x=5x$$

Combine $14x$ and $-5x$ to get $9x$.

$$9x+22=5x$$

Subtract $5x$ from both sides.

$$9x+22-5x=0$$

Combine $9x$ and $-5x$ to get $4x$.

$$4x+22=0$$

Subtract $22$ from both sides. Anything subtracted from zero gives its negation.

$$4x=-22$$

Divide both sides by $4$.

$$x=\frac{-22}{4}$$

Reduce the fraction $\frac{-22}{4}$ to lowest terms by extracting and canceling out $2$.

$$x=-\frac{11}{2}$$