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

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


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

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

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

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

Solving
8 + 14x = -5 + 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.
8 + 14x + -6x = -5 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
8 + 8x = -5 + 0
8 + 8x = -5

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

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

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

Divide each side by '8'.
x = -1.625

Simplifying
x = -1.625

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