3(x-5)+20=2(x+4)

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Solution for 3(x-5)+20=2(x+4) equation:


Simplifying
3(x + -5) + 20 = 2(x + 4)

Reorder the terms:
3(-5 + x) + 20 = 2(x + 4)
(-5 * 3 + x * 3) + 20 = 2(x + 4)
(-15 + 3x) + 20 = 2(x + 4)

Reorder the terms:
-15 + 20 + 3x = 2(x + 4)

Combine like terms: -15 + 20 = 5
5 + 3x = 2(x + 4)

Reorder the terms:
5 + 3x = 2(4 + x)
5 + 3x = (4 * 2 + x * 2)
5 + 3x = (8 + 2x)

Solving
5 + 3x = 8 + 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.
5 + 3x + -2x = 8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
5 + 1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 1x = 8 + 0
5 + 1x = 8

Add '-5' to each side of the equation.
5 + -5 + 1x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 8 + -5
1x = 8 + -5

Combine like terms: 8 + -5 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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