4(4x-7)-4=4(x-4)

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Solution for 4(4x-7)-4=4(x-4) equation:


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

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

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

Combine like terms: -28 + -4 = -32
-32 + 16x = 4(x + -4)

Reorder the terms:
-32 + 16x = 4(-4 + x)
-32 + 16x = (-4 * 4 + x * 4)
-32 + 16x = (-16 + 4x)

Solving
-32 + 16x = -16 + 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.
-32 + 16x + -4x = -16 + 4x + -4x

Combine like terms: 16x + -4x = 12x
-32 + 12x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-32 + 12x = -16 + 0
-32 + 12x = -16

Add '32' to each side of the equation.
-32 + 32 + 12x = -16 + 32

Combine like terms: -32 + 32 = 0
0 + 12x = -16 + 32
12x = -16 + 32

Combine like terms: -16 + 32 = 16
12x = 16

Divide each side by '12'.
x = 1.333333333

Simplifying
x = 1.333333333

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