3x+20=4x-10

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Solution for 3x+20=4x-10 equation:


Simplifying
3x + 20 = 4x + -10

Reorder the terms:
20 + 3x = 4x + -10

Reorder the terms:
20 + 3x = -10 + 4x

Solving
20 + 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.
20 + 3x + -4x = -10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
20 + -1x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -1x = -10 + 0
20 + -1x = -10

Add '-20' to each side of the equation.
20 + -20 + -1x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = -10 + -20
-1x = -10 + -20

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

Divide each side by '-1'.
x = 30

Simplifying
x = 30

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