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

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


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

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

Reorder the terms:
-3 + 6x = 4(2 + 3x) + -5
-3 + 6x = (2 * 4 + 3x * 4) + -5
-3 + 6x = (8 + 12x) + -5

Reorder the terms:
-3 + 6x = 8 + -5 + 12x

Combine like terms: 8 + -5 = 3
-3 + 6x = 3 + 12x

Solving
-3 + 6x = 3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-3 + 6x + -12x = 3 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-3 + -6x = 3 + 12x + -12x

Combine like terms: 12x + -12x = 0
-3 + -6x = 3 + 0
-3 + -6x = 3

Add '3' to each side of the equation.
-3 + 3 + -6x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = 3 + 3
-6x = 3 + 3

Combine like terms: 3 + 3 = 6
-6x = 6

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

Simplifying
x = -1

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