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

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


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

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

Reorder the terms:
-4 + 4x + -3x = 5x + -16

Combine like terms: 4x + -3x = 1x
-4 + 1x = 5x + -16

Reorder the terms:
-4 + 1x = -16 + 5x

Solving
-4 + 1x = -16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + 1x + -5x = -16 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-4 + -4x = -16 + 0
-4 + -4x = -16

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

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

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

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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