2x+24=4(4x-1)

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Solution for 2x+24=4(4x-1) equation:


Simplifying
2x + 24 = 4(4x + -1)

Reorder the terms:
24 + 2x = 4(4x + -1)

Reorder the terms:
24 + 2x = 4(-1 + 4x)
24 + 2x = (-1 * 4 + 4x * 4)
24 + 2x = (-4 + 16x)

Solving
24 + 2x = -4 + 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.
24 + 2x + -16x = -4 + 16x + -16x

Combine like terms: 2x + -16x = -14x
24 + -14x = -4 + 16x + -16x

Combine like terms: 16x + -16x = 0
24 + -14x = -4 + 0
24 + -14x = -4

Add '-24' to each side of the equation.
24 + -24 + -14x = -4 + -24

Combine like terms: 24 + -24 = 0
0 + -14x = -4 + -24
-14x = -4 + -24

Combine like terms: -4 + -24 = -28
-14x = -28

Divide each side by '-14'.
x = 2

Simplifying
x = 2

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