5(3x-1)-2(2-3x)+2=2(2x-1)-5(2-3X)

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Solution for 5(3x-1)-2(2-3x)+2=2(2x-1)-5(2-3X) equation:


Simplifying
5(3x + -1) + -2(2 + -3x) + 2 = 2(2x + -1) + -5(2 + -3X)

Reorder the terms:
5(-1 + 3x) + -2(2 + -3x) + 2 = 2(2x + -1) + -5(2 + -3X)
(-1 * 5 + 3x * 5) + -2(2 + -3x) + 2 = 2(2x + -1) + -5(2 + -3X)
(-5 + 15x) + -2(2 + -3x) + 2 = 2(2x + -1) + -5(2 + -3X)
-5 + 15x + (2 * -2 + -3x * -2) + 2 = 2(2x + -1) + -5(2 + -3X)
-5 + 15x + (-4 + 6x) + 2 = 2(2x + -1) + -5(2 + -3X)

Reorder the terms:
-5 + -4 + 2 + 15x + 6x = 2(2x + -1) + -5(2 + -3X)

Combine like terms: -5 + -4 = -9
-9 + 2 + 15x + 6x = 2(2x + -1) + -5(2 + -3X)

Combine like terms: -9 + 2 = -7
-7 + 15x + 6x = 2(2x + -1) + -5(2 + -3X)

Combine like terms: 15x + 6x = 21x
-7 + 21x = 2(2x + -1) + -5(2 + -3X)

Reorder the terms:
-7 + 21x = 2(-1 + 2x) + -5(2 + -3X)
-7 + 21x = (-1 * 2 + 2x * 2) + -5(2 + -3X)
-7 + 21x = (-2 + 4x) + -5(2 + -3X)
-7 + 21x = -2 + 4x + (2 * -5 + -3X * -5)
-7 + 21x = -2 + 4x + (-10 + 15X)

Reorder the terms:
-7 + 21x = -2 + -10 + 15X + 4x

Combine like terms: -2 + -10 = -12
-7 + 21x = -12 + 15X + 4x

Solving
-7 + 21x = -12 + 15X + 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.
-7 + 21x + -4x = -12 + 15X + 4x + -4x

Combine like terms: 21x + -4x = 17x
-7 + 17x = -12 + 15X + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 17x = -12 + 15X + 0
-7 + 17x = -12 + 15X

Add '7' to each side of the equation.
-7 + 7 + 17x = -12 + 7 + 15X

Combine like terms: -7 + 7 = 0
0 + 17x = -12 + 7 + 15X
17x = -12 + 7 + 15X

Combine like terms: -12 + 7 = -5
17x = -5 + 15X

Divide each side by '17'.
x = -0.2941176471 + 0.8823529412X

Simplifying
x = -0.2941176471 + 0.8823529412X

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