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

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


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

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

Reorder the terms:
-8 + 4x + -3(4 + x) = 16
-8 + 4x + (4 * -3 + x * -3) = 16
-8 + 4x + (-12 + -3x) = 16

Reorder the terms:
-8 + -12 + 4x + -3x = 16

Combine like terms: -8 + -12 = -20
-20 + 4x + -3x = 16

Combine like terms: 4x + -3x = 1x
-20 + 1x = 16

Solving
-20 + 1x = 16

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 1x = 16 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = 16 + 20
1x = 16 + 20

Combine like terms: 16 + 20 = 36
1x = 36

Divide each side by '1'.
x = 36

Simplifying
x = 36

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