2(7x+14)=4x-6(12-x)+7

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Solution for 2(7x+14)=4x-6(12-x)+7 equation:


Simplifying
2(7x + 14) = 4x + -6(12 + -1x) + 7

Reorder the terms:
2(14 + 7x) = 4x + -6(12 + -1x) + 7
(14 * 2 + 7x * 2) = 4x + -6(12 + -1x) + 7
(28 + 14x) = 4x + -6(12 + -1x) + 7
28 + 14x = 4x + (12 * -6 + -1x * -6) + 7
28 + 14x = 4x + (-72 + 6x) + 7

Reorder the terms:
28 + 14x = -72 + 7 + 4x + 6x

Combine like terms: -72 + 7 = -65
28 + 14x = -65 + 4x + 6x

Combine like terms: 4x + 6x = 10x
28 + 14x = -65 + 10x

Solving
28 + 14x = -65 + 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.
28 + 14x + -10x = -65 + 10x + -10x

Combine like terms: 14x + -10x = 4x
28 + 4x = -65 + 10x + -10x

Combine like terms: 10x + -10x = 0
28 + 4x = -65 + 0
28 + 4x = -65

Add '-28' to each side of the equation.
28 + -28 + 4x = -65 + -28

Combine like terms: 28 + -28 = 0
0 + 4x = -65 + -28
4x = -65 + -28

Combine like terms: -65 + -28 = -93
4x = -93

Divide each side by '4'.
x = -23.25

Simplifying
x = -23.25

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