3x+5=10x-30

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Solution for 3x+5=10x-30 equation:


Simplifying
3x + 5 = 10x + -30

Reorder the terms:
5 + 3x = 10x + -30

Reorder the terms:
5 + 3x = -30 + 10x

Solving
5 + 3x = -30 + 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.
5 + 3x + -10x = -30 + 10x + -10x

Combine like terms: 3x + -10x = -7x
5 + -7x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
5 + -7x = -30 + 0
5 + -7x = -30

Add '-5' to each side of the equation.
5 + -5 + -7x = -30 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = -30 + -5
-7x = -30 + -5

Combine like terms: -30 + -5 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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