2(x-1)+3=3(2x-1)-16

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Solution for 2(x-1)+3=3(2x-1)-16 equation: 


Simplifying
2(x + -1) + 3 = 3(2x + -1) + -16

Reorder the terms:
2(-1 + x) + 3 = 3(2x + -1) + -16
(-1 * 2 + x * 2) + 3 = 3(2x + -1) + -16
(-2 + 2x) + 3 = 3(2x + -1) + -16

Reorder the terms:
-2 + 3 + 2x = 3(2x + -1) + -16

Combine like terms: -2 + 3 = 1
1 + 2x = 3(2x + -1) + -16

Reorder the terms:
1 + 2x = 3(-1 + 2x) + -16
1 + 2x = (-1 * 3 + 2x * 3) + -16
1 + 2x = (-3 + 6x) + -16

Reorder the terms:
1 + 2x = -3 + -16 + 6x

Combine like terms: -3 + -16 = -19
1 + 2x = -19 + 6x

Solving
1 + 2x = -19 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 2x + -6x = -19 + 6x + -6x

Combine like terms: 2x + -6x = -4x
1 + -4x = -19 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -4x = -19 + 0
1 + -4x = -19

Add '-1' to each side of the equation.
1 + -1 + -4x = -19 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = -19 + -1
-4x = -19 + -1

Combine like terms: -19 + -1 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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