x+(3x-4)=2*(x+20)

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Solution for x+(3x-4)=2*(x+20) equation:


Simplifying
x + (3x + -4) = 2(x + 20)

Reorder the terms:
x + (-4 + 3x) = 2(x + 20)

Remove parenthesis around (-4 + 3x)
x + -4 + 3x = 2(x + 20)

Reorder the terms:
-4 + x + 3x = 2(x + 20)

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

Reorder the terms:
-4 + 4x = 2(20 + x)
-4 + 4x = (20 * 2 + x * 2)
-4 + 4x = (40 + 2x)

Solving
-4 + 4x = 40 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 4x + -2x = 40 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-4 + 2x = 40 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 2x = 40 + 0
-4 + 2x = 40

Add '4' to each side of the equation.
-4 + 4 + 2x = 40 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 40 + 4
2x = 40 + 4

Combine like terms: 40 + 4 = 44
2x = 44

Divide each side by '2'.
x = 22

Simplifying
x = 22

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