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

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


Simplifying
-5(1 + 2x) + -5 = 2(1 + -4x)
(1 * -5 + 2x * -5) + -5 = 2(1 + -4x)
(-5 + -10x) + -5 = 2(1 + -4x)

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

Combine like terms: -5 + -5 = -10
-10 + -10x = 2(1 + -4x)
-10 + -10x = (1 * 2 + -4x * 2)
-10 + -10x = (2 + -8x)

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

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

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

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

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

Combine like terms: 2 + 10 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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