2(x-3)+5=3(x-1)-4

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Solution for 2(x-3)+5=3(x-1)-4 equation: 


Simplifying
2(x + -3) + 5 = 3(x + -1) + -4

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

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

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

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

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

Combine like terms: -3 + -4 = -7
-1 + 2x = -7 + 3x

Solving
-1 + 2x = -7 + 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.
-1 + 2x + -3x = -7 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-1 + -1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -1x = -7 + 0
-1 + -1x = -7

Add '1' to each side of the equation.
-1 + 1 + -1x = -7 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = -7 + 1
-1x = -7 + 1

Combine like terms: -7 + 1 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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