Solve (5 - 2x - 7)/5 = 2x - 5 | 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

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

Solve for x

$x = \frac{23}{12} = 1\frac{11}{12} \approx 1.916666667$

Steps for Solving Linear Equation

Multiply both sides of the equation by $5$.

$$5-2x-7=10x-25$$

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

$$-2-2x=10x-25$$

Subtract $10x$ from both sides.

$$-2-2x-10x=-25$$

Combine $-2x$ and $-10x$ to get $-12x$.

$$-2-12x=-25$$

Add $2$ to both sides.

$$-12x=-25+2$$

Add $-25$ and $2$ to get $-23$.

$$-12x=-23$$

Divide both sides by $-12$.

$$x=\frac{-23}{-12}$$

Fraction $\frac{-23}{-12}$ can be simplified to $\frac{23}{12}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{23}{12}$$