Solve 4(x-8)/5=-2(3x+1)+2/5?

$$\frac { 4 ( x - 8 ) } { 5 } = - 2 ( 3 x + 1 ) + \frac { 2 } { 5 } ?$$

Solve for x

$$x=\frac{12}{17}\approx 0.705882353$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$4\left(x-8\right)=-10\left(3x+1\right)+2$$

Use the distributive property to multiply 4 by x-8.

$$4x-32=-10\left(3x+1\right)+2$$

Use the distributive property to multiply -10 by 3x+1.

$$4x-32=-30x-10+2$$

Add -10 and 2 to get -8.

$$4x-32=-30x-8$$

Add 30x to both sides.

$$4x-32+30x=-8$$

Combine 4x and 30x to get 34x.

$$34x-32=-8$$

Add 32 to both sides.

$$34x=-8+32$$

Add -8 and 32 to get 24.

$$34x=24$$

Divide both sides by 34.

$$x=\frac{24}{34}$$

Reduce the fraction \frac{24}{34} to lowest terms by extracting and canceling out 2.

$$x=\frac{12}{17}$$