6(x+2)=10x-10

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


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

Reorder the terms:
6(2 + x) = 10x + -10
(2 * 6 + x * 6) = 10x + -10
(12 + 6x) = 10x + -10

Reorder the terms:
12 + 6x = -10 + 10x

Solving
12 + 6x = -10 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 6x + -10x = -10 + 10x + -10x

Combine like terms: 6x + -10x = -4x
12 + -4x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -4x = -10 + 0
12 + -4x = -10

Add '-12' to each side of the equation.
12 + -12 + -4x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -10 + -12
-4x = -10 + -12

Combine like terms: -10 + -12 = -22
-4x = -22

Divide each side by '-4'.
x = 5.5

Simplifying
x = 5.5

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