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

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


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

Reorder the terms:
8x + -2(4 + 5x) = 2(x + 5)
8x + (4 * -2 + 5x * -2) = 2(x + 5)
8x + (-8 + -10x) = 2(x + 5)

Reorder the terms:
-8 + 8x + -10x = 2(x + 5)

Combine like terms: 8x + -10x = -2x
-8 + -2x = 2(x + 5)

Reorder the terms:
-8 + -2x = 2(5 + x)
-8 + -2x = (5 * 2 + x * 2)
-8 + -2x = (10 + 2x)

Solving
-8 + -2x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + -2x + -2x = 10 + 2x + -2x

Combine like terms: -2x + -2x = -4x
-8 + -4x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + -4x = 10 + 0
-8 + -4x = 10

Add '8' to each side of the equation.
-8 + 8 + -4x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = 10 + 8
-4x = 10 + 8

Combine like terms: 10 + 8 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

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