7(x-6)=5x-10(x+2)+2

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Solution for 7(x-6)=5x-10(x+2)+2 equation:


Simplifying
7(x + -6) = 5x + -10(x + 2) + 2

Reorder the terms:
7(-6 + x) = 5x + -10(x + 2) + 2
(-6 * 7 + x * 7) = 5x + -10(x + 2) + 2
(-42 + 7x) = 5x + -10(x + 2) + 2

Reorder the terms:
-42 + 7x = 5x + -10(2 + x) + 2
-42 + 7x = 5x + (2 * -10 + x * -10) + 2
-42 + 7x = 5x + (-20 + -10x) + 2

Reorder the terms:
-42 + 7x = -20 + 2 + 5x + -10x

Combine like terms: -20 + 2 = -18
-42 + 7x = -18 + 5x + -10x

Combine like terms: 5x + -10x = -5x
-42 + 7x = -18 + -5x

Solving
-42 + 7x = -18 + -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.
-42 + 7x + 5x = -18 + -5x + 5x

Combine like terms: 7x + 5x = 12x
-42 + 12x = -18 + -5x + 5x

Combine like terms: -5x + 5x = 0
-42 + 12x = -18 + 0
-42 + 12x = -18

Add '42' to each side of the equation.
-42 + 42 + 12x = -18 + 42

Combine like terms: -42 + 42 = 0
0 + 12x = -18 + 42
12x = -18 + 42

Combine like terms: -18 + 42 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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