4(4x-9)-7=4(x-3)+29

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Solution for 4(4x-9)-7=4(x-3)+29 equation: 


Simplifying
4(4x + -9) + -7 = 4(x + -3) + 29

Reorder the terms:
4(-9 + 4x) + -7 = 4(x + -3) + 29
(-9 * 4 + 4x * 4) + -7 = 4(x + -3) + 29
(-36 + 16x) + -7 = 4(x + -3) + 29

Reorder the terms:
-36 + -7 + 16x = 4(x + -3) + 29

Combine like terms: -36 + -7 = -43
-43 + 16x = 4(x + -3) + 29

Reorder the terms:
-43 + 16x = 4(-3 + x) + 29
-43 + 16x = (-3 * 4 + x * 4) + 29
-43 + 16x = (-12 + 4x) + 29

Reorder the terms:
-43 + 16x = -12 + 29 + 4x

Combine like terms: -12 + 29 = 17
-43 + 16x = 17 + 4x

Solving
-43 + 16x = 17 + 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.
-43 + 16x + -4x = 17 + 4x + -4x

Combine like terms: 16x + -4x = 12x
-43 + 12x = 17 + 4x + -4x

Combine like terms: 4x + -4x = 0
-43 + 12x = 17 + 0
-43 + 12x = 17

Add '43' to each side of the equation.
-43 + 43 + 12x = 17 + 43

Combine like terms: -43 + 43 = 0
0 + 12x = 17 + 43
12x = 17 + 43

Combine like terms: 17 + 43 = 60
12x = 60

Divide each side by '12'.
x = 5

Simplifying
x = 5

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