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

$$2(x+2)+5(x+5)=4(x-8)+2(x-2)$$

Solve for x

$x=-65$

Steps for Solving Linear Equation

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

$$2x+4+5\left(x+5\right)=4\left(x-8\right)+2\left(x-2\right)$$

Use the distributive property to multiply $5$ by $x+5$.

$$2x+4+5x+25=4\left(x-8\right)+2\left(x-2\right)$$

Combine $2x$ and $5x$ to get $7x$.

$$7x+4+25=4\left(x-8\right)+2\left(x-2\right)$$

Add $4$ and $25$ to get $29$.

$$7x+29=4\left(x-8\right)+2\left(x-2\right)$$

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

$$7x+29=4x-32+2\left(x-2\right)$$

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

$$7x+29=4x-32+2x-4$$

Combine $4x$ and $2x$ to get $6x$.

$$7x+29=6x-32-4$$

Subtract $4$ from $-32$ to get $-36$.

$$7x+29=6x-36$$

Subtract $6x$ from both sides.

$$7x+29-6x=-36$$

Combine $7x$ and $-6x$ to get $x$.

$$x+29=-36$$

Subtract $29$ from both sides.

$$x=-36-29$$

Subtract $29$ from $-36$ to get $-65$.

$$x=-65$$