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

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


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

Reorder the terms:
3(-2 + x) + -1 = 2(x + 4)
(-2 * 3 + x * 3) + -1 = 2(x + 4)
(-6 + 3x) + -1 = 2(x + 4)

Reorder the terms:
-6 + -1 + 3x = 2(x + 4)

Combine like terms: -6 + -1 = -7
-7 + 3x = 2(x + 4)

Reorder the terms:
-7 + 3x = 2(4 + x)
-7 + 3x = (4 * 2 + x * 2)
-7 + 3x = (8 + 2x)

Solving
-7 + 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.
-7 + 3x + -2x = 8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-7 + 1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 1x = 8 + 0
-7 + 1x = 8

Add '7' to each side of the equation.
-7 + 7 + 1x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 8 + 7
1x = 8 + 7

Combine like terms: 8 + 7 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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