6(x-2)+4=3(x-1)-5

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Solution for 6(x-2)+4=3(x-1)-5 equation: 


Simplifying
6(x + -2) + 4 = 3(x + -1) + -5

Reorder the terms:
6(-2 + x) + 4 = 3(x + -1) + -5
(-2 * 6 + x * 6) + 4 = 3(x + -1) + -5
(-12 + 6x) + 4 = 3(x + -1) + -5

Reorder the terms:
-12 + 4 + 6x = 3(x + -1) + -5

Combine like terms: -12 + 4 = -8
-8 + 6x = 3(x + -1) + -5

Reorder the terms:
-8 + 6x = 3(-1 + x) + -5
-8 + 6x = (-1 * 3 + x * 3) + -5
-8 + 6x = (-3 + 3x) + -5

Reorder the terms:
-8 + 6x = -3 + -5 + 3x

Combine like terms: -3 + -5 = -8
-8 + 6x = -8 + 3x

Add '8' to each side of the equation.
-8 + 8 + 6x = -8 + 8 + 3x

Combine like terms: -8 + 8 = 0
0 + 6x = -8 + 8 + 3x
6x = -8 + 8 + 3x

Combine like terms: -8 + 8 = 0
6x = 0 + 3x
6x = 3x

Solving
6x = 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.
6x + -3x = 3x + -3x

Combine like terms: 6x + -3x = 3x
3x = 3x + -3x

Combine like terms: 3x + -3x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0

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