4(x+5)+2x-4x=3(1+x)+22

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Solution for 4(x+5)+2x-4x=3(1+x)+22 equation: 


Simplifying
4(x + 5) + 2x + -4x = 3(1 + x) + 22

Reorder the terms:
4(5 + x) + 2x + -4x = 3(1 + x) + 22
(5 * 4 + x * 4) + 2x + -4x = 3(1 + x) + 22
(20 + 4x) + 2x + -4x = 3(1 + x) + 22

Combine like terms: 4x + 2x = 6x
20 + 6x + -4x = 3(1 + x) + 22

Combine like terms: 6x + -4x = 2x
20 + 2x = 3(1 + x) + 22
20 + 2x = (1 * 3 + x * 3) + 22
20 + 2x = (3 + 3x) + 22

Reorder the terms:
20 + 2x = 3 + 22 + 3x

Combine like terms: 3 + 22 = 25
20 + 2x = 25 + 3x

Solving
20 + 2x = 25 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + 2x + -3x = 25 + 3x + -3x

Combine like terms: 2x + -3x = -1x
20 + -1x = 25 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -1x = 25 + 0
20 + -1x = 25

Add '-20' to each side of the equation.
20 + -20 + -1x = 25 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 25 + -20
-1x = 25 + -20

Combine like terms: 25 + -20 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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