4(3x-5)-4=4(x-3)+44

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Solution for 4(3x-5)-4=4(x-3)+44 equation:


Simplifying
4(3x + -5) + -4 = 4(x + -3) + 44

Reorder the terms:
4(-5 + 3x) + -4 = 4(x + -3) + 44
(-5 * 4 + 3x * 4) + -4 = 4(x + -3) + 44
(-20 + 12x) + -4 = 4(x + -3) + 44

Reorder the terms:
-20 + -4 + 12x = 4(x + -3) + 44

Combine like terms: -20 + -4 = -24
-24 + 12x = 4(x + -3) + 44

Reorder the terms:
-24 + 12x = 4(-3 + x) + 44
-24 + 12x = (-3 * 4 + x * 4) + 44
-24 + 12x = (-12 + 4x) + 44

Reorder the terms:
-24 + 12x = -12 + 44 + 4x

Combine like terms: -12 + 44 = 32
-24 + 12x = 32 + 4x

Solving
-24 + 12x = 32 + 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.
-24 + 12x + -4x = 32 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-24 + 8x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + 8x = 32 + 0
-24 + 8x = 32

Add '24' to each side of the equation.
-24 + 24 + 8x = 32 + 24

Combine like terms: -24 + 24 = 0
0 + 8x = 32 + 24
8x = 32 + 24

Combine like terms: 32 + 24 = 56
8x = 56

Divide each side by '8'.
x = 7

Simplifying
x = 7

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