(3x+10)=(4x-10)

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Solution for (3x+10)=(4x-10) equation:


Simplifying
(3x + 10) = (4x + -10)

Reorder the terms:
(10 + 3x) = (4x + -10)

Remove parenthesis around (10 + 3x)
10 + 3x = (4x + -10)

Reorder the terms:
10 + 3x = (-10 + 4x)

Remove parenthesis around (-10 + 4x)
10 + 3x = -10 + 4x

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

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

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

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

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

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

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

Simplifying
x = 20

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