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

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


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

Reorder the terms:
3(-5 + 2x) + -4 = (x + 2)
(-5 * 3 + 2x * 3) + -4 = (x + 2)
(-15 + 6x) + -4 = (x + 2)

Reorder the terms:
-15 + -4 + 6x = (x + 2)

Combine like terms: -15 + -4 = -19
-19 + 6x = (x + 2)

Reorder the terms:
-19 + 6x = (2 + x)

Remove parenthesis around (2 + x)
-19 + 6x = 2 + x

Solving
-19 + 6x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-19 + 6x + -1x = 2 + x + -1x

Combine like terms: 6x + -1x = 5x
-19 + 5x = 2 + x + -1x

Combine like terms: x + -1x = 0
-19 + 5x = 2 + 0
-19 + 5x = 2

Add '19' to each side of the equation.
-19 + 19 + 5x = 2 + 19

Combine like terms: -19 + 19 = 0
0 + 5x = 2 + 19
5x = 2 + 19

Combine like terms: 2 + 19 = 21
5x = 21

Divide each side by '5'.
x = 4.2

Simplifying
x = 4.2

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