3(2x-1)=15-2(x+2)

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Solution for 3(2x-1)=15-2(x+2) equation:


Simplifying
3(2x + -1) = 15 + -2(x + 2)

Reorder the terms:
3(-1 + 2x) = 15 + -2(x + 2)
(-1 * 3 + 2x * 3) = 15 + -2(x + 2)
(-3 + 6x) = 15 + -2(x + 2)

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

Combine like terms: 15 + -4 = 11
-3 + 6x = 11 + -2x

Solving
-3 + 6x = 11 + -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.
-3 + 6x + 2x = 11 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-3 + 8x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 8x = 11 + 0
-3 + 8x = 11

Add '3' to each side of the equation.
-3 + 3 + 8x = 11 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 11 + 3
8x = 11 + 3

Combine like terms: 11 + 3 = 14
8x = 14

Divide each side by '8'.
x = 1.75

Simplifying
x = 1.75

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