2(x+3)=6(x-2)-10

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Solution for 2(x+3)=6(x-2)-10 equation:


Simplifying
2(x + 3) = 6(x + -2) + -10

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

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

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

Combine like terms: -12 + -10 = -22
6 + 2x = -22 + 6x

Solving
6 + 2x = -22 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 2x + -6x = -22 + 6x + -6x

Combine like terms: 2x + -6x = -4x
6 + -4x = -22 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -4x = -22 + 0
6 + -4x = -22

Add '-6' to each side of the equation.
6 + -6 + -4x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -22 + -6
-4x = -22 + -6

Combine like terms: -22 + -6 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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