Solve 6(5x - 2) = 0.4x + 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

$$0.6(5x-2)=0.4x+7$$

Solve for x

$x = \frac{41}{13} = 3\frac{2}{13} \approx 3.153846154$

Steps for Solving Linear Equation

Use the distributive property to multiply $0.6$ by $5x-2$.

$$3x-1.2=0.4x+7$$

Subtract $0.4x$ from both sides.

$$3x-1.2-0.4x=7$$

Combine $3x$ and $-0.4x$ to get $2.6x$.

$$2.6x-1.2=7$$

Add $1.2$ to both sides.

$$2.6x=7+1.2$$

Add $7$ and $1.2$ to get $8.2$.

$$2.6x=8.2$$

Divide both sides by $2.6$.

$$x=\frac{8.2}{2.6}$$

Expand $\frac{8.2}{2.6}$ by multiplying both numerator and the denominator by $10$.

$$x=\frac{82}{26}$$

Reduce the fraction $\frac{82}{26}$ to lowest terms by extracting and canceling out $2$.

$$x=\frac{41}{13}$$