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

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


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

Reorder the terms:
6(-3 + x) + 2 = 5(x + 2) + -6
(-3 * 6 + x * 6) + 2 = 5(x + 2) + -6
(-18 + 6x) + 2 = 5(x + 2) + -6

Reorder the terms:
-18 + 2 + 6x = 5(x + 2) + -6

Combine like terms: -18 + 2 = -16
-16 + 6x = 5(x + 2) + -6

Reorder the terms:
-16 + 6x = 5(2 + x) + -6
-16 + 6x = (2 * 5 + x * 5) + -6
-16 + 6x = (10 + 5x) + -6

Reorder the terms:
-16 + 6x = 10 + -6 + 5x

Combine like terms: 10 + -6 = 4
-16 + 6x = 4 + 5x

Solving
-16 + 6x = 4 + 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.
-16 + 6x + -5x = 4 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-16 + 1x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + 1x = 4 + 0
-16 + 1x = 4

Add '16' to each side of the equation.
-16 + 16 + 1x = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = 4 + 16
1x = 4 + 16

Combine like terms: 4 + 16 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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