5x+40=15x+100

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Solution for 5x+40=15x+100 equation:


Simplifying
5x + 40 = 15x + 100

Reorder the terms:
40 + 5x = 15x + 100

Reorder the terms:
40 + 5x = 100 + 15x

Solving
40 + 5x = 100 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
40 + 5x + -15x = 100 + 15x + -15x

Combine like terms: 5x + -15x = -10x
40 + -10x = 100 + 15x + -15x

Combine like terms: 15x + -15x = 0
40 + -10x = 100 + 0
40 + -10x = 100

Add '-40' to each side of the equation.
40 + -40 + -10x = 100 + -40

Combine like terms: 40 + -40 = 0
0 + -10x = 100 + -40
-10x = 100 + -40

Combine like terms: 100 + -40 = 60
-10x = 60

Divide each side by '-10'.
x = -6

Simplifying
x = -6

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