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

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


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

Reorder the terms:
5(2 + x) + -3(x + -6) = 7x
(2 * 5 + x * 5) + -3(x + -6) = 7x
(10 + 5x) + -3(x + -6) = 7x

Reorder the terms:
10 + 5x + -3(-6 + x) = 7x
10 + 5x + (-6 * -3 + x * -3) = 7x
10 + 5x + (18 + -3x) = 7x

Reorder the terms:
10 + 18 + 5x + -3x = 7x

Combine like terms: 10 + 18 = 28
28 + 5x + -3x = 7x

Combine like terms: 5x + -3x = 2x
28 + 2x = 7x

Solving
28 + 2x = 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.
28 + 2x + -7x = 7x + -7x

Combine like terms: 2x + -7x = -5x
28 + -5x = 7x + -7x

Combine like terms: 7x + -7x = 0
28 + -5x = 0

Add '-28' to each side of the equation.
28 + -28 + -5x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -5x = 0 + -28
-5x = 0 + -28

Combine like terms: 0 + -28 = -28
-5x = -28

Divide each side by '-5'.
x = 5.6

Simplifying
x = 5.6

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