Solve 1/2 * x + 2 = 5x - 7 | 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

$$\frac{1}{2}x+2=5x-7$$

Solve for x

$x=2$

Steps for Solving Linear Equation

Subtract $5x$ from both sides.

$$\frac{1}{2}x+2-5x=-7$$

Combine $\frac{1}{2}x$ and $-5x$ to get $-\frac{9}{2}x$.

$$-\frac{9}{2}x+2=-7$$

Subtract $2$ from both sides.

$$-\frac{9}{2}x=-7-2$$

Subtract $2$ from $-7$ to get $-9$.

$$-\frac{9}{2}x=-9$$

Multiply both sides by $-\frac{2}{9}$, the reciprocal of $-\frac{9}{2}$.

$$x=-9\left(-\frac{2}{9}\right)$$

Multiply $-9$ times $-\frac{2}{9}$.

$$x=2$$