4(x+4)=2(x-3)

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Solution for 4(x+4)=2(x-3) equation: 


Simplifying
4(x + 4) = 2(x + -3)

Reorder the terms:
4(4 + x) = 2(x + -3)
(4 * 4 + x * 4) = 2(x + -3)
(16 + 4x) = 2(x + -3)

Reorder the terms:
16 + 4x = 2(-3 + x)
16 + 4x = (-3 * 2 + x * 2)
16 + 4x = (-6 + 2x)

Solving
16 + 4x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + 4x + -2x = -6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
16 + 2x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 2x = -6 + 0
16 + 2x = -6

Add '-16' to each side of the equation.
16 + -16 + 2x = -6 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = -6 + -16
2x = -6 + -16

Combine like terms: -6 + -16 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

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