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

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


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

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

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

Reorder the terms:
8 + 5x = 3(5 + x) + -4
8 + 5x = (5 * 3 + x * 3) + -4
8 + 5x = (15 + 3x) + -4

Reorder the terms:
8 + 5x = 15 + -4 + 3x

Combine like terms: 15 + -4 = 11
8 + 5x = 11 + 3x

Solving
8 + 5x = 11 + 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.
8 + 5x + -3x = 11 + 3x + -3x

Combine like terms: 5x + -3x = 2x
8 + 2x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 2x = 11 + 0
8 + 2x = 11

Add '-8' to each side of the equation.
8 + -8 + 2x = 11 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 11 + -8
2x = 11 + -8

Combine like terms: 11 + -8 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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