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

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


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

Reorder the terms:
2(4 + 7x) = x + -6(2 + -1x) + 7
(4 * 2 + 7x * 2) = x + -6(2 + -1x) + 7
(8 + 14x) = x + -6(2 + -1x) + 7
8 + 14x = x + (2 * -6 + -1x * -6) + 7
8 + 14x = x + (-12 + 6x) + 7

Reorder the terms:
8 + 14x = -12 + 7 + x + 6x

Combine like terms: -12 + 7 = -5
8 + 14x = -5 + x + 6x

Combine like terms: x + 6x = 7x
8 + 14x = -5 + 7x

Solving
8 + 14x = -5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 14x + -7x = -5 + 7x + -7x

Combine like terms: 14x + -7x = 7x
8 + 7x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + 7x = -5 + 0
8 + 7x = -5

Add '-8' to each side of the equation.
8 + -8 + 7x = -5 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = -5 + -8
7x = -5 + -8

Combine like terms: -5 + -8 = -13
7x = -13

Divide each side by '7'.
x = -1.857142857

Simplifying
x = -1.857142857

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