3(x-4)+18=(2x+5)

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Solution for 3(x-4)+18=(2x+5) equation:


Simplifying
3(x + -4) + 18 = (2x + 5)

Reorder the terms:
3(-4 + x) + 18 = (2x + 5)
(-4 * 3 + x * 3) + 18 = (2x + 5)
(-12 + 3x) + 18 = (2x + 5)

Reorder the terms:
-12 + 18 + 3x = (2x + 5)

Combine like terms: -12 + 18 = 6
6 + 3x = (2x + 5)

Reorder the terms:
6 + 3x = (5 + 2x)

Remove parenthesis around (5 + 2x)
6 + 3x = 5 + 2x

Solving
6 + 3x = 5 + 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.
6 + 3x + -2x = 5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
6 + 1x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 1x = 5 + 0
6 + 1x = 5

Add '-6' to each side of the equation.
6 + -6 + 1x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 5 + -6
1x = 5 + -6

Combine like terms: 5 + -6 = -1
1x = -1

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

Simplifying
x = -1

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