3x+30=4x-10

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Solution for 3x+30=4x-10 equation:


Simplifying
3x + 30 = 4x + -10

Reorder the terms:
30 + 3x = 4x + -10

Reorder the terms:
30 + 3x = -10 + 4x

Solving
30 + 3x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
30 + 3x + -4x = -10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
30 + -1x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + -1x = -10 + 0
30 + -1x = -10

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

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

Combine like terms: -10 + -30 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40

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