Solve 5x + x/3 = 0.25x + 7 | 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

$$0.5x+\frac{x}{3}=0.25x+7$$

Solve for x

$x=12$

Steps for Solving Linear Equation

Multiply both sides of the equation by $3$.

$$1.5x+x=0.75x+21$$

Combine $1.5x$ and $x$ to get $2.5x$.

$$2.5x=0.75x+21$$

Subtract $0.75x$ from both sides.

$$2.5x-0.75x=21$$

Combine $2.5x$ and $-0.75x$ to get $1.75x$.

$$1.75x=21$$

Divide both sides by $1.75$.

$$x=\frac{21}{1.75}$$

Expand $\frac{21}{1.75}$ by multiplying both numerator and the denominator by $100$.

$$x=\frac{2100}{175}$$

Divide $2100$ by $175$ to get $12$.

$$x=12$$