x-2(3x-1)=5(x+2)-5

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Solution for x-2(3x-1)=5(x+2)-5 equation:


Simplifying
x + -2(3x + -1) = 5(x + 2) + -5

Reorder the terms:
x + -2(-1 + 3x) = 5(x + 2) + -5
x + (-1 * -2 + 3x * -2) = 5(x + 2) + -5
x + (2 + -6x) = 5(x + 2) + -5

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

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

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

Reorder the terms:
2 + -5x = 10 + -5 + 5x

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

Solving
2 + -5x = 5 + 5x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: 5 + -2 = 3
-10x = 3

Divide each side by '-10'.
x = -0.3

Simplifying
x = -0.3

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