0.5x+5=7x-7

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Solution for 0.5x+5=7x-7 equation:


Simplifying
0.5x + 5 = 7x + -7

Reorder the terms:
5 + 0.5x = 7x + -7

Reorder the terms:
5 + 0.5x = -7 + 7x

Solving
5 + 0.5x = -7 + 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.
5 + 0.5x + -7x = -7 + 7x + -7x

Combine like terms: 0.5x + -7x = -6.5x
5 + -6.5x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -6.5x = -7 + 0
5 + -6.5x = -7

Add '-5' to each side of the equation.
5 + -5 + -6.5x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -6.5x = -7 + -5
-6.5x = -7 + -5

Combine like terms: -7 + -5 = -12
-6.5x = -12

Divide each side by '-6.5'.
x = 1.846153846

Simplifying
x = 1.846153846

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