4(4x-9)-2=4(x-2)+42

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Solution for 4(4x-9)-2=4(x-2)+42 equation:


Simplifying
4(4x + -9) + -2 = 4(x + -2) + 42

Reorder the terms:
4(-9 + 4x) + -2 = 4(x + -2) + 42
(-9 * 4 + 4x * 4) + -2 = 4(x + -2) + 42
(-36 + 16x) + -2 = 4(x + -2) + 42

Reorder the terms:
-36 + -2 + 16x = 4(x + -2) + 42

Combine like terms: -36 + -2 = -38
-38 + 16x = 4(x + -2) + 42

Reorder the terms:
-38 + 16x = 4(-2 + x) + 42
-38 + 16x = (-2 * 4 + x * 4) + 42
-38 + 16x = (-8 + 4x) + 42

Reorder the terms:
-38 + 16x = -8 + 42 + 4x

Combine like terms: -8 + 42 = 34
-38 + 16x = 34 + 4x

Solving
-38 + 16x = 34 + 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.
-38 + 16x + -4x = 34 + 4x + -4x

Combine like terms: 16x + -4x = 12x
-38 + 12x = 34 + 4x + -4x

Combine like terms: 4x + -4x = 0
-38 + 12x = 34 + 0
-38 + 12x = 34

Add '38' to each side of the equation.
-38 + 38 + 12x = 34 + 38

Combine like terms: -38 + 38 = 0
0 + 12x = 34 + 38
12x = 34 + 38

Combine like terms: 34 + 38 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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