5x+10=-10x+100

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Solution for 5x+10=-10x+100 equation:


Simplifying
5x + 10 = -10x + 100

Reorder the terms:
10 + 5x = -10x + 100

Reorder the terms:
10 + 5x = 100 + -10x

Solving
10 + 5x = 100 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
10 + 5x + 10x = 100 + -10x + 10x

Combine like terms: 5x + 10x = 15x
10 + 15x = 100 + -10x + 10x

Combine like terms: -10x + 10x = 0
10 + 15x = 100 + 0
10 + 15x = 100

Add '-10' to each side of the equation.
10 + -10 + 15x = 100 + -10

Combine like terms: 10 + -10 = 0
0 + 15x = 100 + -10
15x = 100 + -10

Combine like terms: 100 + -10 = 90
15x = 90

Divide each side by '15'.
x = 6

Simplifying
x = 6

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