Solve 2x+4(2x+7)=3(2x+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

$$2x+4(2x+7)=3(2x+4)$$

Solve for x

$x=-4$

Steps for Solving Linear Equation

Use the distributive property to multiply $4$ by $2x+7$.

$$2x+8x+28=3\left(2x+4\right)$$

Combine $2x$ and $8x$ to get $10x$.

$$10x+28=3\left(2x+4\right)$$

Use the distributive property to multiply $3$ by $2x+4$.

$$10x+28=6x+12$$

Subtract $6x$ from both sides.

$$10x+28-6x=12$$

Combine $10x$ and $-6x$ to get $4x$.

$$4x+28=12$$

Subtract $28$ from both sides.

$$4x=12-28$$

Subtract $28$ from $12$ to get $-16$.

$$4x=-16$$

Divide both sides by $4$.

$$x=\frac{-16}{4}$$

Divide $-16$ by $4$ to get $-4$.

$$x=-4$$