7(x-2)+3(x+2)=5(x-6)

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Solution for 7(x-2)+3(x+2)=5(x-6) equation: 


Simplifying
7(x + -2) + 3(x + 2) = 5(x + -6)

Reorder the terms:
7(-2 + x) + 3(x + 2) = 5(x + -6)
(-2 * 7 + x * 7) + 3(x + 2) = 5(x + -6)
(-14 + 7x) + 3(x + 2) = 5(x + -6)

Reorder the terms:
-14 + 7x + 3(2 + x) = 5(x + -6)
-14 + 7x + (2 * 3 + x * 3) = 5(x + -6)
-14 + 7x + (6 + 3x) = 5(x + -6)

Reorder the terms:
-14 + 6 + 7x + 3x = 5(x + -6)

Combine like terms: -14 + 6 = -8
-8 + 7x + 3x = 5(x + -6)

Combine like terms: 7x + 3x = 10x
-8 + 10x = 5(x + -6)

Reorder the terms:
-8 + 10x = 5(-6 + x)
-8 + 10x = (-6 * 5 + x * 5)
-8 + 10x = (-30 + 5x)

Solving
-8 + 10x = -30 + 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.
-8 + 10x + -5x = -30 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-8 + 5x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + 5x = -30 + 0
-8 + 5x = -30

Add '8' to each side of the equation.
-8 + 8 + 5x = -30 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -30 + 8
5x = -30 + 8

Combine like terms: -30 + 8 = -22
5x = -22

Divide each side by '5'.
x = -4.4

Simplifying
x = -4.4

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