2(3x-2)+x=-x+5(7+x)

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Solution for 2(3x-2)+x=-x+5(7+x) equation:


Simplifying
2(3x + -2) + x = -1x + 5(7 + x)

Reorder the terms:
2(-2 + 3x) + x = -1x + 5(7 + x)
(-2 * 2 + 3x * 2) + x = -1x + 5(7 + x)
(-4 + 6x) + x = -1x + 5(7 + x)

Combine like terms: 6x + x = 7x
-4 + 7x = -1x + 5(7 + x)
-4 + 7x = -1x + (7 * 5 + x * 5)
-4 + 7x = -1x + (35 + 5x)

Reorder the terms:
-4 + 7x = 35 + -1x + 5x

Combine like terms: -1x + 5x = 4x
-4 + 7x = 35 + 4x

Solving
-4 + 7x = 35 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-4 + 7x + -4x = 35 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-4 + 3x = 35 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 3x = 35 + 0
-4 + 3x = 35

Add '4' to each side of the equation.
-4 + 4 + 3x = 35 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 35 + 4
3x = 35 + 4

Combine like terms: 35 + 4 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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