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

$$1 - 0.6 ( 5 x - 2 ) = 0.4 x + 7$$

Solve for x

$x = -\frac{24}{17} = -1\frac{7}{17} \approx -1.411764706$

Steps for Solving Linear Equation

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

$$1-3x+1.2=0.4x+7$$

Add $1$ and $1.2$ to get $2.2$.

$$2.2-3x=0.4x+7$$

Subtract $0.4x$ from both sides.

$$2.2-3x-0.4x=7$$

Combine $-3x$ and $-0.4x$ to get $-3.4x$.

$$2.2-3.4x=7$$

Subtract $2.2$ from both sides.

$$-3.4x=7-2.2$$

Subtract $2.2$ from $7$ to get $4.8$.

$$-3.4x=4.8$$

Divide both sides by $-3.4$.

$$x=\frac{4.8}{-3.4}$$

Expand $\frac{4.8}{-3.4}$ by multiplying both numerator and the denominator by $10$.

$$x=\frac{48}{-34}$$

Reduce the fraction $\frac{48}{-34}$ to lowest terms by extracting and canceling out $2$.

$$x=-\frac{24}{17}$$