Solve 2x + 18/25 = 5x - 39/25 | 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

$$1.2x+\frac{18}{25}=5x-\frac{39}{25}$$

Solve for x

$x=0.6$

Steps for Solving Linear Equation

Subtract $5x$ from both sides.

$$1.2x+\frac{18}{25}-5x=-\frac{39}{25}$$

Combine $1.2x$ and $-5x$ to get $-3.8x$.

$$-3.8x+\frac{18}{25}=-\frac{39}{25}$$

Subtract $\frac{18}{25}$ from both sides.

$$-3.8x=-\frac{39}{25}-\frac{18}{25}$$

Since $-\frac{39}{25}$ and $\frac{18}{25}$ have the same denominator, subtract them by subtracting their numerators.

$$-3.8x=\frac{-39-18}{25}$$

Subtract $18$ from $-39$ to get $-57$.

$$-3.8x=-\frac{57}{25}$$

Divide both sides by $-3.8$.

$$x=\frac{-\frac{57}{25}}{-3.8}$$

Express $\frac{-\frac{57}{25}}{-3.8}$ as a single fraction.

$$x=\frac{-57}{25\left(-3.8\right)}$$

Multiply $25$ and $-3.8$ to get $-95$.

$$x=\frac{-57}{-95}$$

Reduce the fraction $\frac{-57}{-95}$ to lowest terms by extracting and canceling out $-19$.

$$x=\frac{3}{5}$$