4(x+5)=16(x+2)

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Solution for 4(x+5)=16(x+2) equation:


Simplifying
4(x + 5) = 16(x + 2)

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

Reorder the terms:
20 + 4x = 16(2 + x)
20 + 4x = (2 * 16 + x * 16)
20 + 4x = (32 + 16x)

Solving
20 + 4x = 32 + 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.
20 + 4x + -16x = 32 + 16x + -16x

Combine like terms: 4x + -16x = -12x
20 + -12x = 32 + 16x + -16x

Combine like terms: 16x + -16x = 0
20 + -12x = 32 + 0
20 + -12x = 32

Add '-20' to each side of the equation.
20 + -20 + -12x = 32 + -20

Combine like terms: 20 + -20 = 0
0 + -12x = 32 + -20
-12x = 32 + -20

Combine like terms: 32 + -20 = 12
-12x = 12

Divide each side by '-12'.
x = -1

Simplifying
x = -1

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