3(x+2)+4=5(x-1)+x

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Solution for 3(x+2)+4=5(x-1)+x equation: 


Simplifying
3(x + 2) + 4 = 5(x + -1) + x

Reorder the terms:
3(2 + x) + 4 = 5(x + -1) + x
(2 * 3 + x * 3) + 4 = 5(x + -1) + x
(6 + 3x) + 4 = 5(x + -1) + x

Reorder the terms:
6 + 4 + 3x = 5(x + -1) + x

Combine like terms: 6 + 4 = 10
10 + 3x = 5(x + -1) + x

Reorder the terms:
10 + 3x = 5(-1 + x) + x
10 + 3x = (-1 * 5 + x * 5) + x
10 + 3x = (-5 + 5x) + x

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

Solving
10 + 3x = -5 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
10 + 3x + -6x = -5 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
10 + -3x = -5 + 0
10 + -3x = -5

Add '-10' to each side of the equation.
10 + -10 + -3x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -5 + -10
-3x = -5 + -10

Combine like terms: -5 + -10 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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