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

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

Solve for x

$x=-2$

Steps for Solving Linear Equation

Use the distributive property to multiply $5$ by $2x+1$.

$$10x+5=3\left(x-3\right)-4\left(x+2\right)$$

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

$$10x+5=3x-9-4\left(x+2\right)$$

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

$$10x+5=3x-9-4x-8$$

Combine $3x$ and $-4x$ to get $-x$.

$$10x+5=-x-9-8$$

Subtract $8$ from $-9$ to get $-17$.

$$10x+5=-x-17$$

Add $x$ to both sides.

$$10x+5+x=-17$$

Combine $10x$ and $x$ to get $11x$.

$$11x+5=-17$$

Subtract $5$ from both sides.

$$11x=-17-5$$

Subtract $5$ from $-17$ to get $-22$.

$$11x=-22$$

Divide both sides by $11$.

$$x=\frac{-22}{11}$$

Divide $-22$ by $11$ to get $-2$.

$$x=-2$$