3(2x-3)+2(x-1)=3x+18

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Solution for 3(2x-3)+2(x-1)=3x+18 equation:


Simplifying
3(2x + -3) + 2(x + -1) = 3x + 18

Reorder the terms:
3(-3 + 2x) + 2(x + -1) = 3x + 18
(-3 * 3 + 2x * 3) + 2(x + -1) = 3x + 18
(-9 + 6x) + 2(x + -1) = 3x + 18

Reorder the terms:
-9 + 6x + 2(-1 + x) = 3x + 18
-9 + 6x + (-1 * 2 + x * 2) = 3x + 18
-9 + 6x + (-2 + 2x) = 3x + 18

Reorder the terms:
-9 + -2 + 6x + 2x = 3x + 18

Combine like terms: -9 + -2 = -11
-11 + 6x + 2x = 3x + 18

Combine like terms: 6x + 2x = 8x
-11 + 8x = 3x + 18

Reorder the terms:
-11 + 8x = 18 + 3x

Solving
-11 + 8x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-11 + 8x + -3x = 18 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-11 + 5x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + 5x = 18 + 0
-11 + 5x = 18

Add '11' to each side of the equation.
-11 + 11 + 5x = 18 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = 18 + 11
5x = 18 + 11

Combine like terms: 18 + 11 = 29
5x = 29

Divide each side by '5'.
x = 5.8

Simplifying
x = 5.8

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