4(4x-7)-3=4(x-4)+57

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Solution for 4(4x-7)-3=4(x-4)+57 equation: 


Simplifying
4(4x + -7) + -3 = 4(x + -4) + 57

Reorder the terms:
4(-7 + 4x) + -3 = 4(x + -4) + 57
(-7 * 4 + 4x * 4) + -3 = 4(x + -4) + 57
(-28 + 16x) + -3 = 4(x + -4) + 57

Reorder the terms:
-28 + -3 + 16x = 4(x + -4) + 57

Combine like terms: -28 + -3 = -31
-31 + 16x = 4(x + -4) + 57

Reorder the terms:
-31 + 16x = 4(-4 + x) + 57
-31 + 16x = (-4 * 4 + x * 4) + 57
-31 + 16x = (-16 + 4x) + 57

Reorder the terms:
-31 + 16x = -16 + 57 + 4x

Combine like terms: -16 + 57 = 41
-31 + 16x = 41 + 4x

Solving
-31 + 16x = 41 + 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.
-31 + 16x + -4x = 41 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-31 + 12x = 41 + 0
-31 + 12x = 41

Add '31' to each side of the equation.
-31 + 31 + 12x = 41 + 31

Combine like terms: -31 + 31 = 0
0 + 12x = 41 + 31
12x = 41 + 31

Combine like terms: 41 + 31 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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