2(x+4)+3(x-1)=4(x+20)

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Solution for 2(x+4)+3(x-1)=4(x+20) equation:


Simplifying
2(x + 4) + 3(x + -1) = 4(x + 20)

Reorder the terms:
2(4 + x) + 3(x + -1) = 4(x + 20)
(4 * 2 + x * 2) + 3(x + -1) = 4(x + 20)
(8 + 2x) + 3(x + -1) = 4(x + 20)

Reorder the terms:
8 + 2x + 3(-1 + x) = 4(x + 20)
8 + 2x + (-1 * 3 + x * 3) = 4(x + 20)
8 + 2x + (-3 + 3x) = 4(x + 20)

Reorder the terms:
8 + -3 + 2x + 3x = 4(x + 20)

Combine like terms: 8 + -3 = 5
5 + 2x + 3x = 4(x + 20)

Combine like terms: 2x + 3x = 5x
5 + 5x = 4(x + 20)

Reorder the terms:
5 + 5x = 4(20 + x)
5 + 5x = (20 * 4 + x * 4)
5 + 5x = (80 + 4x)

Solving
5 + 5x = 80 + 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.
5 + 5x + -4x = 80 + 4x + -4x

Combine like terms: 5x + -4x = 1x
5 + 1x = 80 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + 1x = 80 + 0
5 + 1x = 80

Add '-5' to each side of the equation.
5 + -5 + 1x = 80 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 80 + -5
1x = 80 + -5

Combine like terms: 80 + -5 = 75
1x = 75

Divide each side by '1'.
x = 75

Simplifying
x = 75

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