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

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


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

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

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

Combine like terms: -8 + 2 = -6
-6 + 4x + 10x = -2(x + 5)

Combine like terms: 4x + 10x = 14x
-6 + 14x = -2(x + 5)

Reorder the terms:
-6 + 14x = -2(5 + x)
-6 + 14x = (5 * -2 + x * -2)
-6 + 14x = (-10 + -2x)

Solving
-6 + 14x = -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.
-6 + 14x + 2x = -10 + -2x + 2x

Combine like terms: 14x + 2x = 16x
-6 + 16x = -10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 16x = -10 + 0
-6 + 16x = -10

Add '6' to each side of the equation.
-6 + 6 + 16x = -10 + 6

Combine like terms: -6 + 6 = 0
0 + 16x = -10 + 6
16x = -10 + 6

Combine like terms: -10 + 6 = -4
16x = -4

Divide each side by '16'.
x = -0.25

Simplifying
x = -0.25

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