7(14-7x)-2=-2(.5x+3)+6

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Solution for 7(14-7x)-2=-2(.5x+3)+6 equation:


Simplifying
7(14 + -7x) + -2 = -2(0.5x + 3) + 6
(14 * 7 + -7x * 7) + -2 = -2(0.5x + 3) + 6
(98 + -49x) + -2 = -2(0.5x + 3) + 6

Reorder the terms:
98 + -2 + -49x = -2(0.5x + 3) + 6

Combine like terms: 98 + -2 = 96
96 + -49x = -2(0.5x + 3) + 6

Reorder the terms:
96 + -49x = -2(3 + 0.5x) + 6
96 + -49x = (3 * -2 + 0.5x * -2) + 6
96 + -49x = (-6 + -1x) + 6

Reorder the terms:
96 + -49x = -6 + 6 + -1x

Combine like terms: -6 + 6 = 0
96 + -49x = 0 + -1x
96 + -49x = -1x

Solving
96 + -49x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
96 + -49x + x = -1x + x

Combine like terms: -49x + x = -48x
96 + -48x = -1x + x

Combine like terms: -1x + x = 0
96 + -48x = 0

Add '-96' to each side of the equation.
96 + -96 + -48x = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -48x = 0 + -96
-48x = 0 + -96

Combine like terms: 0 + -96 = -96
-48x = -96

Divide each side by '-48'.
x = 2

Simplifying
x = 2

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