3(5x-9)=-2(6-2x)+2

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Solution for 3(5x-9)=-2(6-2x)+2 equation:


Simplifying
3(5x + -9) = -2(6 + -2x) + 2

Reorder the terms:
3(-9 + 5x) = -2(6 + -2x) + 2
(-9 * 3 + 5x * 3) = -2(6 + -2x) + 2
(-27 + 15x) = -2(6 + -2x) + 2
-27 + 15x = (6 * -2 + -2x * -2) + 2
-27 + 15x = (-12 + 4x) + 2

Reorder the terms:
-27 + 15x = -12 + 2 + 4x

Combine like terms: -12 + 2 = -10
-27 + 15x = -10 + 4x

Solving
-27 + 15x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-27 + 15x + -4x = -10 + 4x + -4x

Combine like terms: 15x + -4x = 11x
-27 + 11x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-27 + 11x = -10 + 0
-27 + 11x = -10

Add '27' to each side of the equation.
-27 + 27 + 11x = -10 + 27

Combine like terms: -27 + 27 = 0
0 + 11x = -10 + 27
11x = -10 + 27

Combine like terms: -10 + 27 = 17
11x = 17

Divide each side by '11'.
x = 1.545454545

Simplifying
x = 1.545454545

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