(4x+10)=(5x-20)

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Solution for (4x+10)=(5x-20) equation:


Simplifying
(4x + 10) = (5x + -20)

Reorder the terms:
(10 + 4x) = (5x + -20)

Remove parenthesis around (10 + 4x)
10 + 4x = (5x + -20)

Reorder the terms:
10 + 4x = (-20 + 5x)

Remove parenthesis around (-20 + 5x)
10 + 4x = -20 + 5x

Solving
10 + 4x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 4x + -5x = -20 + 5x + -5x

Combine like terms: 4x + -5x = -1x
10 + -1x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -1x = -20 + 0
10 + -1x = -20

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

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

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

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

Simplifying
x = 30

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