7x+14-4x=2(x-2)-10

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Solution for 7x+14-4x=2(x-2)-10 equation:


Simplifying
7x + 14 + -4x = 2(x + -2) + -10

Reorder the terms:
14 + 7x + -4x = 2(x + -2) + -10

Combine like terms: 7x + -4x = 3x
14 + 3x = 2(x + -2) + -10

Reorder the terms:
14 + 3x = 2(-2 + x) + -10
14 + 3x = (-2 * 2 + x * 2) + -10
14 + 3x = (-4 + 2x) + -10

Reorder the terms:
14 + 3x = -4 + -10 + 2x

Combine like terms: -4 + -10 = -14
14 + 3x = -14 + 2x

Solving
14 + 3x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
14 + 3x + -2x = -14 + 2x + -2x

Combine like terms: 3x + -2x = 1x
14 + 1x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + 1x = -14 + 0
14 + 1x = -14

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

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

Combine like terms: -14 + -14 = -28
1x = -28

Divide each side by '1'.
x = -28

Simplifying
x = -28

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