2x+100=7x-5

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Solution for 2x+100=7x-5 equation:


Simplifying
2x + 100 = 7x + -5

Reorder the terms:
100 + 2x = 7x + -5

Reorder the terms:
100 + 2x = -5 + 7x

Solving
100 + 2x = -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.
100 + 2x + -7x = -5 + 7x + -7x

Combine like terms: 2x + -7x = -5x
100 + -5x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
100 + -5x = -5 + 0
100 + -5x = -5

Add '-100' to each side of the equation.
100 + -100 + -5x = -5 + -100

Combine like terms: 100 + -100 = 0
0 + -5x = -5 + -100
-5x = -5 + -100

Combine like terms: -5 + -100 = -105
-5x = -105

Divide each side by '-5'.
x = 21

Simplifying
x = 21

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