x+3=4(4x-4)

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


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

Reorder the terms:
3 + x = 4(4x + -4)

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

Solving
3 + x = -16 + 16x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

Combine like terms: x + -16x = -15x
3 + -15x = -16 + 16x + -16x

Combine like terms: 16x + -16x = 0
3 + -15x = -16 + 0
3 + -15x = -16

Add '-3' to each side of the equation.
3 + -3 + -15x = -16 + -3

Combine like terms: 3 + -3 = 0
0 + -15x = -16 + -3
-15x = -16 + -3

Combine like terms: -16 + -3 = -19
-15x = -19

Divide each side by '-15'.
x = 1.266666667

Simplifying
x = 1.266666667

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