4(x-6)-5(x-3)=-16

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Solution for 4(x-6)-5(x-3)=-16 equation:


Simplifying
4(x + -6) + -5(x + -3) = -16

Reorder the terms:
4(-6 + x) + -5(x + -3) = -16
(-6 * 4 + x * 4) + -5(x + -3) = -16
(-24 + 4x) + -5(x + -3) = -16

Reorder the terms:
-24 + 4x + -5(-3 + x) = -16
-24 + 4x + (-3 * -5 + x * -5) = -16
-24 + 4x + (15 + -5x) = -16

Reorder the terms:
-24 + 15 + 4x + -5x = -16

Combine like terms: -24 + 15 = -9
-9 + 4x + -5x = -16

Combine like terms: 4x + -5x = -1x
-9 + -1x = -16

Solving
-9 + -1x = -16

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + -1x = -16 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = -16 + 9
-1x = -16 + 9

Combine like terms: -16 + 9 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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