2(x-3)+4=3(x-1)-1

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Solution for 2(x-3)+4=3(x-1)-1 equation:


Simplifying
2(x + -3) + 4 = 3(x + -1) + -1

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

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

Combine like terms: -6 + 4 = -2
-2 + 2x = 3(x + -1) + -1

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

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

Combine like terms: -3 + -1 = -4
-2 + 2x = -4 + 3x

Solving
-2 + 2x = -4 + 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.
-2 + 2x + -3x = -4 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-2 + -1x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -1x = -4 + 0
-2 + -1x = -4

Add '2' to each side of the equation.
-2 + 2 + -1x = -4 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -4 + 2
-1x = -4 + 2

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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