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

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


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

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

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

Reorder the terms:
10 + 6x = -5 + 4x

Solving
10 + 6x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 6x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
10 + 2x = -5 + 0
10 + 2x = -5

Add '-10' to each side of the equation.
10 + -10 + 2x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = -5 + -10
2x = -5 + -10

Combine like terms: -5 + -10 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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