4(3x-9)-5=4(x-4)+31

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Solution for 4(3x-9)-5=4(x-4)+31 equation:


Simplifying
4(3x + -9) + -5 = 4(x + -4) + 31

Reorder the terms:
4(-9 + 3x) + -5 = 4(x + -4) + 31
(-9 * 4 + 3x * 4) + -5 = 4(x + -4) + 31
(-36 + 12x) + -5 = 4(x + -4) + 31

Reorder the terms:
-36 + -5 + 12x = 4(x + -4) + 31

Combine like terms: -36 + -5 = -41
-41 + 12x = 4(x + -4) + 31

Reorder the terms:
-41 + 12x = 4(-4 + x) + 31
-41 + 12x = (-4 * 4 + x * 4) + 31
-41 + 12x = (-16 + 4x) + 31

Reorder the terms:
-41 + 12x = -16 + 31 + 4x

Combine like terms: -16 + 31 = 15
-41 + 12x = 15 + 4x

Solving
-41 + 12x = 15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-41 + 12x + -4x = 15 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-41 + 8x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-41 + 8x = 15 + 0
-41 + 8x = 15

Add '41' to each side of the equation.
-41 + 41 + 8x = 15 + 41

Combine like terms: -41 + 41 = 0
0 + 8x = 15 + 41
8x = 15 + 41

Combine like terms: 15 + 41 = 56
8x = 56

Divide each side by '8'.
x = 7

Simplifying
x = 7

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