4x+10=-x+20

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


Simplifying
4x + 10 = -1x + 20

Reorder the terms:
10 + 4x = -1x + 20

Reorder the terms:
10 + 4x = 20 + -1x

Solving
10 + 4x = 20 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + 4x + x = 20 + -1x + x

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

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

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

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

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

Divide each side by '5'.
x = 2

Simplifying
x = 2

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