4(2x-1)-3(3x-2)=44

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Solution for 4(2x-1)-3(3x-2)=44 equation:


Simplifying
4(2x + -1) + -3(3x + -2) = 44

Reorder the terms:
4(-1 + 2x) + -3(3x + -2) = 44
(-1 * 4 + 2x * 4) + -3(3x + -2) = 44
(-4 + 8x) + -3(3x + -2) = 44

Reorder the terms:
-4 + 8x + -3(-2 + 3x) = 44
-4 + 8x + (-2 * -3 + 3x * -3) = 44
-4 + 8x + (6 + -9x) = 44

Reorder the terms:
-4 + 6 + 8x + -9x = 44

Combine like terms: -4 + 6 = 2
2 + 8x + -9x = 44

Combine like terms: 8x + -9x = -1x
2 + -1x = 44

Solving
2 + -1x = 44

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 44 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 44 + -2
-1x = 44 + -2

Combine like terms: 44 + -2 = 42
-1x = 42

Divide each side by '-1'.
x = -42

Simplifying
x = -42

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