(x+5)+(2x+7)=(4x-6)

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Solution for (x+5)+(2x+7)=(4x-6) equation:


Simplifying
(x + 5) + (2x + 7) = (4x + -6)

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

Remove parenthesis around (5 + x)
5 + x + (2x + 7) = (4x + -6)

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

Remove parenthesis around (7 + 2x)
5 + x + 7 + 2x = (4x + -6)

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

Combine like terms: 5 + 7 = 12
12 + x + 2x = (4x + -6)

Combine like terms: x + 2x = 3x
12 + 3x = (4x + -6)

Reorder the terms:
12 + 3x = (-6 + 4x)

Remove parenthesis around (-6 + 4x)
12 + 3x = -6 + 4x

Solving
12 + 3x = -6 + 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.
12 + 3x + -4x = -6 + 4x + -4x

Combine like terms: 3x + -4x = -1x
12 + -1x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -1x = -6 + 0
12 + -1x = -6

Add '-12' to each side of the equation.
12 + -12 + -1x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -6 + -12
-1x = -6 + -12

Combine like terms: -6 + -12 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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