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

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


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

Reorder the terms:
(7 + x) + (3x + 3) = (5x + -7)

Remove parenthesis around (7 + x)
7 + x + (3x + 3) = (5x + -7)

Reorder the terms:
7 + x + (3 + 3x) = (5x + -7)

Remove parenthesis around (3 + 3x)
7 + x + 3 + 3x = (5x + -7)

Reorder the terms:
7 + 3 + x + 3x = (5x + -7)

Combine like terms: 7 + 3 = 10
10 + x + 3x = (5x + -7)

Combine like terms: x + 3x = 4x
10 + 4x = (5x + -7)

Reorder the terms:
10 + 4x = (-7 + 5x)

Remove parenthesis around (-7 + 5x)
10 + 4x = -7 + 5x

Solving
10 + 4x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 4x + -5x = -7 + 5x + -5x

Combine like terms: 4x + -5x = -1x
10 + -1x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -1x = -7 + 0
10 + -1x = -7

Add '-10' to each side of the equation.
10 + -10 + -1x = -7 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -7 + -10
-1x = -7 + -10

Combine like terms: -7 + -10 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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