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

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


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

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

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

Combine like terms: -6 + -1 = -7
-7 + 2x = 3(x + -4)

Reorder the terms:
-7 + 2x = 3(-4 + x)
-7 + 2x = (-4 * 3 + x * 3)
-7 + 2x = (-12 + 3x)

Solving
-7 + 2x = -12 + 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.
-7 + 2x + -3x = -12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-7 + -1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + -1x = -12 + 0
-7 + -1x = -12

Add '7' to each side of the equation.
-7 + 7 + -1x = -12 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = -12 + 7
-1x = -12 + 7

Combine like terms: -12 + 7 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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