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

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

Solve for x

$x=1$

Steps for Solving Linear Equation

Use the distributive property to multiply $-5$ by $-3+2x$.

$$15-10x-\left(5-3x\right)=2x+1$$

To find the opposite of $5-3x$, find the opposite of each term.

$$15-10x-5-\left(-3x\right)=2x+1$$

The opposite of $-3x$ is $3x$.

$$15-10x-5+3x=2x+1$$

Subtract $5$ from $15$ to get $10$.

$$10-10x+3x=2x+1$$

Combine $-10x$ and $3x$ to get $-7x$.

$$10-7x=2x+1$$

Subtract $2x$ from both sides.

$$10-7x-2x=1$$

Combine $-7x$ and $-2x$ to get $-9x$.

$$10-9x=1$$

Subtract $10$ from both sides.

$$-9x=1-10$$

Subtract $10$ from $1$ to get $-9$.

$$-9x=-9$$

Divide both sides by $-9$.

$$x=\frac{-9}{-9}$$

Divide $-9$ by $-9$ to get $1$.

$$x=1$$