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

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


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

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

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

Reorder the terms:
10 + 6x = 6(3 + x) + -4x
10 + 6x = (3 * 6 + x * 6) + -4x
10 + 6x = (18 + 6x) + -4x

Combine like terms: 6x + -4x = 2x
10 + 6x = 18 + 2x

Solving
10 + 6x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + 6x + -2x = 18 + 2x + -2x

Combine like terms: 6x + -2x = 4x
10 + 4x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 4x = 18 + 0
10 + 4x = 18

Add '-10' to each side of the equation.
10 + -10 + 4x = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 18 + -10
4x = 18 + -10

Combine like terms: 18 + -10 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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