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

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


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

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

Reorder the terms:
-12 + 4 + 6x = 5x + -5

Combine like terms: -12 + 4 = -8
-8 + 6x = 5x + -5

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

Solving
-8 + 6x = -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.
-8 + 6x + -5x = -5 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-8 + 1x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + 1x = -5 + 0
-8 + 1x = -5

Add '8' to each side of the equation.
-8 + 8 + 1x = -5 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -5 + 8
1x = -5 + 8

Combine like terms: -5 + 8 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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