6x-10=7x-30

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Solution for 6x-10=7x-30 equation:


Simplifying
6x + -10 = 7x + -30

Reorder the terms:
-10 + 6x = 7x + -30

Reorder the terms:
-10 + 6x = -30 + 7x

Solving
-10 + 6x = -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 + 6x + -7x = -30 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-10 + -1x = -30 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -1x = -30 + 0
-10 + -1x = -30

Add '10' to each side of the equation.
-10 + 10 + -1x = -30 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -30 + 10
-1x = -30 + 10

Combine like terms: -30 + 10 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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