Solve 25(4x - 3) = 0.05(10x - 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

$$0.25(4x-3)=0.05(10x-9)$$

Solve for x

$x=0.6$

Steps for Solving Linear Equation

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

$$x-0.75=0.05\left(10x-9\right)$$

Use the distributive property to multiply $0.05$ by $10x-9$.

$$x-0.75=0.5x-0.45$$

Subtract $0.5x$ from both sides.

$$x-0.75-0.5x=-0.45$$

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

$$0.5x-0.75=-0.45$$

Add $0.75$ to both sides.

$$0.5x=-0.45+0.75$$

Add $-0.45$ and $0.75$ to get $0.3$.

$$0.5x=0.3$$

Divide both sides by $0.5$.

$$x=\frac{0.3}{0.5}$$

Expand $\frac{0.3}{0.5}$ by multiplying both numerator and the denominator by $10$.

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