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

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

Solve for x

$x=8$

Steps for Solving Linear Equation

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

$$7x+3=7x-\left(5-x\right)$$

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

$$7x+3=7x-5-\left(-x\right)$$

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

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

Combine $7x$ and $x$ to get $8x$.

$$7x+3=8x-5$$

Subtract $8x$ from both sides.

$$7x+3-8x=-5$$

Combine $7x$ and $-8x$ to get $-x$.

$$-x+3=-5$$

Subtract $3$ from both sides.

$$-x=-5-3$$

Subtract $3$ from $-5$ to get $-8$.

$$-x=-8$$

Multiply both sides by $-1$.

$$x=8$$