4(4x-7)-7=4(x-3)+37

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Solution for 4(4x-7)-7=4(x-3)+37 equation: 


Simplifying
4(4x + -7) + -7 = 4(x + -3) + 37

Reorder the terms:
4(-7 + 4x) + -7 = 4(x + -3) + 37
(-7 * 4 + 4x * 4) + -7 = 4(x + -3) + 37
(-28 + 16x) + -7 = 4(x + -3) + 37

Reorder the terms:
-28 + -7 + 16x = 4(x + -3) + 37

Combine like terms: -28 + -7 = -35
-35 + 16x = 4(x + -3) + 37

Reorder the terms:
-35 + 16x = 4(-3 + x) + 37
-35 + 16x = (-3 * 4 + x * 4) + 37
-35 + 16x = (-12 + 4x) + 37

Reorder the terms:
-35 + 16x = -12 + 37 + 4x

Combine like terms: -12 + 37 = 25
-35 + 16x = 25 + 4x

Solving
-35 + 16x = 25 + 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.
-35 + 16x + -4x = 25 + 4x + -4x

Combine like terms: 16x + -4x = 12x
-35 + 12x = 25 + 4x + -4x

Combine like terms: 4x + -4x = 0
-35 + 12x = 25 + 0
-35 + 12x = 25

Add '35' to each side of the equation.
-35 + 35 + 12x = 25 + 35

Combine like terms: -35 + 35 = 0
0 + 12x = 25 + 35
12x = 25 + 35

Combine like terms: 25 + 35 = 60
12x = 60

Divide each side by '12'.
x = 5

Simplifying
x = 5

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