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

$$5-\frac{2x-7}{5}=2x-3$$

Solve for x

$x = \frac{47}{12} = 3\frac{11}{12} \approx 3.916666667$

Steps for Solving Linear Equation

Multiply both sides of the equation by $5$.

$$25-\left(2x-7\right)=10x-15$$

To find the opposite of $2x-7$, find the opposite of each term.

$$25-2x-\left(-7\right)=10x-15$$

The opposite of $-7$ is $7$.

$$25-2x+7=10x-15$$

Add $25$ and $7$ to get $32$.

$$32-2x=10x-15$$

Subtract $10x$ from both sides.

$$32-2x-10x=-15$$

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

$$32-12x=-15$$

Subtract $32$ from both sides.

$$-12x=-15-32$$

Subtract $32$ from $-15$ to get $-47$.

$$-12x=-47$$

Divide both sides by $-12$.

$$x=\frac{-47}{-12}$$

Fraction $\frac{-47}{-12}$ can be simplified to $\frac{47}{12}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{47}{12}$$