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

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


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

Reorder the terms:
x + -2(-5 + x) = 3(x + 1) + -5
x + (-5 * -2 + x * -2) = 3(x + 1) + -5
x + (10 + -2x) = 3(x + 1) + -5

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

Combine like terms: x + -2x = -1x
10 + -1x = 3(x + 1) + -5

Reorder the terms:
10 + -1x = 3(1 + x) + -5
10 + -1x = (1 * 3 + x * 3) + -5
10 + -1x = (3 + 3x) + -5

Reorder the terms:
10 + -1x = 3 + -5 + 3x

Combine like terms: 3 + -5 = -2
10 + -1x = -2 + 3x

Solving
10 + -1x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -1x + -3x = -2 + 3x + -3x

Combine like terms: -1x + -3x = -4x
10 + -4x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -4x = -2 + 0
10 + -4x = -2

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

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

Combine like terms: -2 + -10 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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