Solve 25(4x - 3) = 0.5x - 9 | 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

$$0.25(4x-3)=0.5x-9$$

Solve for x

$x=-16.5$

Steps for Solving Linear Equation

Use the distributive property to multiply $0.25$ by $4x-3$.

$$x-0.75=0.5x-9$$

Subtract $0.5x$ from both sides.

$$x-0.75-0.5x=-9$$

Combine $x$ and $-0.5x$ to get $0.5x$.

$$0.5x-0.75=-9$$

Add $0.75$ to both sides.

$$0.5x=-9+0.75$$

Add $-9$ and $0.75$ to get $-8.25$.

$$0.5x=-8.25$$

Divide both sides by $0.5$.

$$x=\frac{-8.25}{0.5}$$

Expand $\frac{-8.25}{0.5}$ by multiplying both numerator and the denominator by $100$.

$$x=\frac{-825}{50}$$

Reduce the fraction $\frac{-825}{50}$ to lowest terms by extracting and canceling out $25$.

$$x=-\frac{33}{2}$$