x+2=4(4x-5)

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Solution for x+2=4(4x-5) equation: 


Simplifying
x + 2 = 4(4x + -5)

Reorder the terms:
2 + x = 4(4x + -5)

Reorder the terms:
2 + x = 4(-5 + 4x)
2 + x = (-5 * 4 + 4x * 4)
2 + x = (-20 + 16x)

Solving
2 + x = -20 + 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.
2 + x + -16x = -20 + 16x + -16x

Combine like terms: x + -16x = -15x
2 + -15x = -20 + 16x + -16x

Combine like terms: 16x + -16x = 0
2 + -15x = -20 + 0
2 + -15x = -20

Add '-2' to each side of the equation.
2 + -2 + -15x = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -15x = -20 + -2
-15x = -20 + -2

Combine like terms: -20 + -2 = -22
-15x = -22

Divide each side by '-15'.
x = 1.466666667

Simplifying
x = 1.466666667

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