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 + 7x = 6 + 3x + 5(-6 + x)
-14 + 7x = 6 + 3x + (-6 * 5 + x * 5)
-14 + 7x = 6 + 3x + (-30 + 5x)

Reorder the terms:
-14 + 7x = 6 + -30 + 3x + 5x

Combine like terms: 6 + -30 = -24
-14 + 7x = -24 + 3x + 5x

Combine like terms: 3x + 5x = 8x
-14 + 7x = -24 + 8x

Solving
-14 + 7x = -24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-14 + 7x + -8x = -24 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-14 + -1x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-14 + -1x = -24 + 0
-14 + -1x = -24

Add '14' to each side of the equation.
-14 + 14 + -1x = -24 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = -24 + 14
-1x = -24 + 14

Combine like terms: -24 + 14 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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