8x-6-4x=5(x+2)-3

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Solution for 8x-6-4x=5(x+2)-3 equation:


Simplifying
8x + -6 + -4x = 5(x + 2) + -3

Reorder the terms:
-6 + 8x + -4x = 5(x + 2) + -3

Combine like terms: 8x + -4x = 4x
-6 + 4x = 5(x + 2) + -3

Reorder the terms:
-6 + 4x = 5(2 + x) + -3
-6 + 4x = (2 * 5 + x * 5) + -3
-6 + 4x = (10 + 5x) + -3

Reorder the terms:
-6 + 4x = 10 + -3 + 5x

Combine like terms: 10 + -3 = 7
-6 + 4x = 7 + 5x

Solving
-6 + 4x = 7 + 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.
-6 + 4x + -5x = 7 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-6 + -1x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -1x = 7 + 0
-6 + -1x = 7

Add '6' to each side of the equation.
-6 + 6 + -1x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 7 + 6
-1x = 7 + 6

Combine like terms: 7 + 6 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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