4(x+2)-6(x-3)=16

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Solution for 4(x+2)-6(x-3)=16 equation: 


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

Reorder the terms:
4(2 + x) + -6(x + -3) = 16
(2 * 4 + x * 4) + -6(x + -3) = 16
(8 + 4x) + -6(x + -3) = 16

Reorder the terms:
8 + 4x + -6(-3 + x) = 16
8 + 4x + (-3 * -6 + x * -6) = 16
8 + 4x + (18 + -6x) = 16

Reorder the terms:
8 + 18 + 4x + -6x = 16

Combine like terms: 8 + 18 = 26
26 + 4x + -6x = 16

Combine like terms: 4x + -6x = -2x
26 + -2x = 16

Solving
26 + -2x = 16

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + -2x = 16 + -26

Combine like terms: 26 + -26 = 0
0 + -2x = 16 + -26
-2x = 16 + -26

Combine like terms: 16 + -26 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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