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

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


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

Reorder the terms:
4(3 + 2x) = (5x + -2) + 6
(3 * 4 + 2x * 4) = (5x + -2) + 6
(12 + 8x) = (5x + -2) + 6

Reorder the terms:
12 + 8x = (-2 + 5x) + 6

Remove parenthesis around (-2 + 5x)
12 + 8x = -2 + 5x + 6

Reorder the terms:
12 + 8x = -2 + 6 + 5x

Combine like terms: -2 + 6 = 4
12 + 8x = 4 + 5x

Solving
12 + 8x = 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.
12 + 8x + -5x = 4 + 5x + -5x

Combine like terms: 8x + -5x = 3x
12 + 3x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 3x = 4 + 0
12 + 3x = 4

Add '-12' to each side of the equation.
12 + -12 + 3x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 4 + -12
3x = 4 + -12

Combine like terms: 4 + -12 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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