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

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


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

Reorder the terms:
7(2 + x) + 4(x + 2) = 7x + -7
(2 * 7 + x * 7) + 4(x + 2) = 7x + -7
(14 + 7x) + 4(x + 2) = 7x + -7

Reorder the terms:
14 + 7x + 4(2 + x) = 7x + -7
14 + 7x + (2 * 4 + x * 4) = 7x + -7
14 + 7x + (8 + 4x) = 7x + -7

Reorder the terms:
14 + 8 + 7x + 4x = 7x + -7

Combine like terms: 14 + 8 = 22
22 + 7x + 4x = 7x + -7

Combine like terms: 7x + 4x = 11x
22 + 11x = 7x + -7

Reorder the terms:
22 + 11x = -7 + 7x

Solving
22 + 11x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
22 + 11x + -7x = -7 + 7x + -7x

Combine like terms: 11x + -7x = 4x
22 + 4x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
22 + 4x = -7 + 0
22 + 4x = -7

Add '-22' to each side of the equation.
22 + -22 + 4x = -7 + -22

Combine like terms: 22 + -22 = 0
0 + 4x = -7 + -22
4x = -7 + -22

Combine like terms: -7 + -22 = -29
4x = -29

Divide each side by '4'.
x = -7.25

Simplifying
x = -7.25

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