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

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


Simplifying
-16 = 3(x + -5) + 4(3 + -1x)

Reorder the terms:
-16 = 3(-5 + x) + 4(3 + -1x)
-16 = (-5 * 3 + x * 3) + 4(3 + -1x)
-16 = (-15 + 3x) + 4(3 + -1x)
-16 = -15 + 3x + (3 * 4 + -1x * 4)
-16 = -15 + 3x + (12 + -4x)

Reorder the terms:
-16 = -15 + 12 + 3x + -4x

Combine like terms: -15 + 12 = -3
-16 = -3 + 3x + -4x

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

Solving
-16 = -3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-16 + x = -3 + -1x + x

Combine like terms: -1x + x = 0
-16 + x = -3 + 0
-16 + x = -3

Add '16' to each side of the equation.
-16 + 16 + x = -3 + 16

Combine like terms: -16 + 16 = 0
0 + x = -3 + 16
x = -3 + 16

Combine like terms: -3 + 16 = 13
x = 13

Simplifying
x = 13

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