4(4x-8)-7=4(x-3)+45

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Solution for 4(4x-8)-7=4(x-3)+45 equation:


Simplifying
4(4x + -8) + -7 = 4(x + -3) + 45

Reorder the terms:
4(-8 + 4x) + -7 = 4(x + -3) + 45
(-8 * 4 + 4x * 4) + -7 = 4(x + -3) + 45
(-32 + 16x) + -7 = 4(x + -3) + 45

Reorder the terms:
-32 + -7 + 16x = 4(x + -3) + 45

Combine like terms: -32 + -7 = -39
-39 + 16x = 4(x + -3) + 45

Reorder the terms:
-39 + 16x = 4(-3 + x) + 45
-39 + 16x = (-3 * 4 + x * 4) + 45
-39 + 16x = (-12 + 4x) + 45

Reorder the terms:
-39 + 16x = -12 + 45 + 4x

Combine like terms: -12 + 45 = 33
-39 + 16x = 33 + 4x

Solving
-39 + 16x = 33 + 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.
-39 + 16x + -4x = 33 + 4x + -4x

Combine like terms: 16x + -4x = 12x
-39 + 12x = 33 + 4x + -4x

Combine like terms: 4x + -4x = 0
-39 + 12x = 33 + 0
-39 + 12x = 33

Add '39' to each side of the equation.
-39 + 39 + 12x = 33 + 39

Combine like terms: -39 + 39 = 0
0 + 12x = 33 + 39
12x = 33 + 39

Combine like terms: 33 + 39 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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