3x-16=2(4x-3)-5

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Solution for 3x-16=2(4x-3)-5 equation:


Simplifying
3x + -16 = 2(4x + -3) + -5

Reorder the terms:
-16 + 3x = 2(4x + -3) + -5

Reorder the terms:
-16 + 3x = 2(-3 + 4x) + -5
-16 + 3x = (-3 * 2 + 4x * 2) + -5
-16 + 3x = (-6 + 8x) + -5

Reorder the terms:
-16 + 3x = -6 + -5 + 8x

Combine like terms: -6 + -5 = -11
-16 + 3x = -11 + 8x

Solving
-16 + 3x = -11 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-16 + 3x + -8x = -11 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-16 + -5x = -11 + 8x + -8x

Combine like terms: 8x + -8x = 0
-16 + -5x = -11 + 0
-16 + -5x = -11

Add '16' to each side of the equation.
-16 + 16 + -5x = -11 + 16

Combine like terms: -16 + 16 = 0
0 + -5x = -11 + 16
-5x = -11 + 16

Combine like terms: -11 + 16 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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