x+4=4(4x-2)

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


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

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

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

Solving
4 + x = -8 + 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.
4 + x + -16x = -8 + 16x + -16x

Combine like terms: x + -16x = -15x
4 + -15x = -8 + 16x + -16x

Combine like terms: 16x + -16x = 0
4 + -15x = -8 + 0
4 + -15x = -8

Add '-4' to each side of the equation.
4 + -4 + -15x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -15x = -8 + -4
-15x = -8 + -4

Combine like terms: -8 + -4 = -12
-15x = -12

Divide each side by '-15'.
x = 0.8

Simplifying
x = 0.8

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