7x-2+(4x+7)=3x-15

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Solution for 7x-2+(4x+7)=3x-15 equation:


Simplifying
7x + -2 + (4x + 7) = 3x + -15

Reorder the terms:
7x + -2 + (7 + 4x) = 3x + -15

Remove parenthesis around (7 + 4x)
7x + -2 + 7 + 4x = 3x + -15

Reorder the terms:
-2 + 7 + 7x + 4x = 3x + -15

Combine like terms: -2 + 7 = 5
5 + 7x + 4x = 3x + -15

Combine like terms: 7x + 4x = 11x
5 + 11x = 3x + -15

Reorder the terms:
5 + 11x = -15 + 3x

Solving
5 + 11x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5 + 11x + -3x = -15 + 3x + -3x

Combine like terms: 11x + -3x = 8x
5 + 8x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 8x = -15 + 0
5 + 8x = -15

Add '-5' to each side of the equation.
5 + -5 + 8x = -15 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = -15 + -5
8x = -15 + -5

Combine like terms: -15 + -5 = -20
8x = -20

Divide each side by '8'.
x = -2.5

Simplifying
x = -2.5

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