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

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


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

Reorder the terms:
4(5 + x) + x = 3(x + 2) + 6
(5 * 4 + x * 4) + x = 3(x + 2) + 6
(20 + 4x) + x = 3(x + 2) + 6

Combine like terms: 4x + x = 5x
20 + 5x = 3(x + 2) + 6

Reorder the terms:
20 + 5x = 3(2 + x) + 6
20 + 5x = (2 * 3 + x * 3) + 6
20 + 5x = (6 + 3x) + 6

Reorder the terms:
20 + 5x = 6 + 6 + 3x

Combine like terms: 6 + 6 = 12
20 + 5x = 12 + 3x

Solving
20 + 5x = 12 + 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.
20 + 5x + -3x = 12 + 3x + -3x

Combine like terms: 5x + -3x = 2x
20 + 2x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 2x = 12 + 0
20 + 2x = 12

Add '-20' to each side of the equation.
20 + -20 + 2x = 12 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 12 + -20
2x = 12 + -20

Combine like terms: 12 + -20 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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