5+2(0.5x-7)=7(x+1)+5x

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Solution for 5+2(0.5x-7)=7(x+1)+5x equation:


Simplifying
5 + 2(0.5x + -7) = 7(x + 1) + 5x

Reorder the terms:
5 + 2(-7 + 0.5x) = 7(x + 1) + 5x
5 + (-7 * 2 + 0.5x * 2) = 7(x + 1) + 5x
5 + (-14 + 1x) = 7(x + 1) + 5x

Combine like terms: 5 + -14 = -9
-9 + 1x = 7(x + 1) + 5x

Reorder the terms:
-9 + 1x = 7(1 + x) + 5x
-9 + 1x = (1 * 7 + x * 7) + 5x
-9 + 1x = (7 + 7x) + 5x

Combine like terms: 7x + 5x = 12x
-9 + 1x = 7 + 12x

Solving
-9 + 1x = 7 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-9 + 1x + -12x = 7 + 12x + -12x

Combine like terms: 1x + -12x = -11x
-9 + -11x = 7 + 12x + -12x

Combine like terms: 12x + -12x = 0
-9 + -11x = 7 + 0
-9 + -11x = 7

Add '9' to each side of the equation.
-9 + 9 + -11x = 7 + 9

Combine like terms: -9 + 9 = 0
0 + -11x = 7 + 9
-11x = 7 + 9

Combine like terms: 7 + 9 = 16
-11x = 16

Divide each side by '-11'.
x = -1.454545455

Simplifying
x = -1.454545455

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