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

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


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

Reorder the terms:
3(-1 + x) + 2 = x + 5(2 + -3x)
(-1 * 3 + x * 3) + 2 = x + 5(2 + -3x)
(-3 + 3x) + 2 = x + 5(2 + -3x)

Reorder the terms:
-3 + 2 + 3x = x + 5(2 + -3x)

Combine like terms: -3 + 2 = -1
-1 + 3x = x + 5(2 + -3x)
-1 + 3x = x + (2 * 5 + -3x * 5)
-1 + 3x = x + (10 + -15x)

Reorder the terms:
-1 + 3x = 10 + x + -15x

Combine like terms: x + -15x = -14x
-1 + 3x = 10 + -14x

Solving
-1 + 3x = 10 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-1 + 3x + 14x = 10 + -14x + 14x

Combine like terms: 3x + 14x = 17x
-1 + 17x = 10 + -14x + 14x

Combine like terms: -14x + 14x = 0
-1 + 17x = 10 + 0
-1 + 17x = 10

Add '1' to each side of the equation.
-1 + 1 + 17x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + 17x = 10 + 1
17x = 10 + 1

Combine like terms: 10 + 1 = 11
17x = 11

Divide each side by '17'.
x = 0.6470588235

Simplifying
x = 0.6470588235

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