Solve 10x-(2x+9)=-3(15-4x) | 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

$$10x-(2x+9)=-3(15-4x)$$

Solve for x

$x=9$

Steps for Solving Linear Equation

To find the opposite of $2x+9$, find the opposite of each term.

$$10x-2x-9=-3\left(15-4x\right)$$

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

$$8x-9=-3\left(15-4x\right)$$

Use the distributive property to multiply $-3$ by $15-4x$.

$$8x-9=-45+12x$$

Subtract $12x$ from both sides.

$$8x-9-12x=-45$$

Combine $8x$ and $-12x$ to get $-4x$.

$$-4x-9=-45$$

Add $9$ to both sides.

$$-4x=-45+9$$

Add $-45$ and $9$ to get $-36$.

$$-4x=-36$$

Divide both sides by $-4$.

$$x=\frac{-36}{-4}$$

Divide $-36$ by $-4$ to get $9$.

$$x=9$$