2(3+2x)-16=10-3(2+4x)

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Solution for 2(3+2x)-16=10-3(2+4x) equation: 


Simplifying
2(3 + 2x) + -16 = 10 + -3(2 + 4x)
(3 * 2 + 2x * 2) + -16 = 10 + -3(2 + 4x)
(6 + 4x) + -16 = 10 + -3(2 + 4x)

Reorder the terms:
6 + -16 + 4x = 10 + -3(2 + 4x)

Combine like terms: 6 + -16 = -10
-10 + 4x = 10 + -3(2 + 4x)
-10 + 4x = 10 + (2 * -3 + 4x * -3)
-10 + 4x = 10 + (-6 + -12x)

Combine like terms: 10 + -6 = 4
-10 + 4x = 4 + -12x

Solving
-10 + 4x = 4 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-10 + 4x + 12x = 4 + -12x + 12x

Combine like terms: 4x + 12x = 16x
-10 + 16x = 4 + -12x + 12x

Combine like terms: -12x + 12x = 0
-10 + 16x = 4 + 0
-10 + 16x = 4

Add '10' to each side of the equation.
-10 + 10 + 16x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 16x = 4 + 10
16x = 4 + 10

Combine like terms: 4 + 10 = 14
16x = 14

Divide each side by '16'.
x = 0.875

Simplifying
x = 0.875

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