5x+3(x-5)=8x-4(2-2x)

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Solution for 5x+3(x-5)=8x-4(2-2x) equation:


Simplifying
5x + 3(x + -5) = 8x + -4(2 + -2x)

Reorder the terms:
5x + 3(-5 + x) = 8x + -4(2 + -2x)
5x + (-5 * 3 + x * 3) = 8x + -4(2 + -2x)
5x + (-15 + 3x) = 8x + -4(2 + -2x)

Reorder the terms:
-15 + 5x + 3x = 8x + -4(2 + -2x)

Combine like terms: 5x + 3x = 8x
-15 + 8x = 8x + -4(2 + -2x)
-15 + 8x = 8x + (2 * -4 + -2x * -4)
-15 + 8x = 8x + (-8 + 8x)

Reorder the terms:
-15 + 8x = -8 + 8x + 8x

Combine like terms: 8x + 8x = 16x
-15 + 8x = -8 + 16x

Solving
-15 + 8x = -8 + 16x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16x' to each side of the equation.
-15 + 8x + -16x = -8 + 16x + -16x

Combine like terms: 8x + -16x = -8x
-15 + -8x = -8 + 16x + -16x

Combine like terms: 16x + -16x = 0
-15 + -8x = -8 + 0
-15 + -8x = -8

Add '15' to each side of the equation.
-15 + 15 + -8x = -8 + 15

Combine like terms: -15 + 15 = 0
0 + -8x = -8 + 15
-8x = -8 + 15

Combine like terms: -8 + 15 = 7
-8x = 7

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

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