5x+10=7x-30

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Solution for 5x+10=7x-30 equation:


Simplifying
5x + 10 = 7x + -30

Reorder the terms:
10 + 5x = 7x + -30

Reorder the terms:
10 + 5x = -30 + 7x

Solving
10 + 5x = -30 + 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.
10 + 5x + -7x = -30 + 7x + -7x

Combine like terms: 5x + -7x = -2x
10 + -2x = -30 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -2x = -30 + 0
10 + -2x = -30

Add '-10' to each side of the equation.
10 + -10 + -2x = -30 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -30 + -10
-2x = -30 + -10

Combine like terms: -30 + -10 = -40
-2x = -40

Divide each side by '-2'.
x = 20

Simplifying
x = 20

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