Solve 2x - (5x + 3) = 7 + (3x - 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

$$2x-(5x+3)=7+(3x-2)$$

Solve for x

$x = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$

Steps for Solving Linear Equation

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

$$2x-5x-3=7+3x-2$$

Combine $2x$ and $-5x$ to get $-3x$.

$$-3x-3=7+3x-2$$

Subtract $2$ from $7$ to get $5$.

$$-3x-3=5+3x$$

Subtract $3x$ from both sides.

$$-3x-3-3x=5$$

Combine $-3x$ and $-3x$ to get $-6x$.

$$-6x-3=5$$

Add $3$ to both sides.

$$-6x=5+3$$

Add $5$ and $3$ to get $8$.

$$-6x=8$$

Divide both sides by $-6$.

$$x=\frac{8}{-6}$$

Reduce the fraction $\frac{8}{-6}$ to lowest terms by extracting and canceling out $2$.

$$x=-\frac{4}{3}$$