8-2(x+5)=4(2x-1)

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Solution for 8-2(x+5)=4(2x-1) equation:


Simplifying
8 + -2(x + 5) = 4(2x + -1)

Reorder the terms:
8 + -2(5 + x) = 4(2x + -1)
8 + (5 * -2 + x * -2) = 4(2x + -1)
8 + (-10 + -2x) = 4(2x + -1)

Combine like terms: 8 + -10 = -2
-2 + -2x = 4(2x + -1)

Reorder the terms:
-2 + -2x = 4(-1 + 2x)
-2 + -2x = (-1 * 4 + 2x * 4)
-2 + -2x = (-4 + 8x)

Solving
-2 + -2x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + -2x + -8x = -4 + 8x + -8x

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

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

Add '2' to each side of the equation.
-2 + 2 + -10x = -4 + 2

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

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

Divide each side by '-10'.
x = 0.2

Simplifying
x = 0.2

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