3(x-1)-4(x-1)=36x+24

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Solution for 3(x-1)-4(x-1)=36x+24 equation:


Simplifying
3(x + -1) + -4(x + -1) = 36x + 24

Reorder the terms:
3(-1 + x) + -4(x + -1) = 36x + 24
(-1 * 3 + x * 3) + -4(x + -1) = 36x + 24
(-3 + 3x) + -4(x + -1) = 36x + 24

Reorder the terms:
-3 + 3x + -4(-1 + x) = 36x + 24
-3 + 3x + (-1 * -4 + x * -4) = 36x + 24
-3 + 3x + (4 + -4x) = 36x + 24

Reorder the terms:
-3 + 4 + 3x + -4x = 36x + 24

Combine like terms: -3 + 4 = 1
1 + 3x + -4x = 36x + 24

Combine like terms: 3x + -4x = -1x
1 + -1x = 36x + 24

Reorder the terms:
1 + -1x = 24 + 36x

Solving
1 + -1x = 24 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
1 + -1x + -36x = 24 + 36x + -36x

Combine like terms: -1x + -36x = -37x
1 + -37x = 24 + 36x + -36x

Combine like terms: 36x + -36x = 0
1 + -37x = 24 + 0
1 + -37x = 24

Add '-1' to each side of the equation.
1 + -1 + -37x = 24 + -1

Combine like terms: 1 + -1 = 0
0 + -37x = 24 + -1
-37x = 24 + -1

Combine like terms: 24 + -1 = 23
-37x = 23

Divide each side by '-37'.
x = -0.6216216216

Simplifying
x = -0.6216216216

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