2(3x-1)-(4x-7)=16

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Solution for 2(3x-1)-(4x-7)=16 equation:


Simplifying
2(3x + -1) + -1(4x + -7) = 16

Reorder the terms:
2(-1 + 3x) + -1(4x + -7) = 16
(-1 * 2 + 3x * 2) + -1(4x + -7) = 16
(-2 + 6x) + -1(4x + -7) = 16

Reorder the terms:
-2 + 6x + -1(-7 + 4x) = 16
-2 + 6x + (-7 * -1 + 4x * -1) = 16
-2 + 6x + (7 + -4x) = 16

Reorder the terms:
-2 + 7 + 6x + -4x = 16

Combine like terms: -2 + 7 = 5
5 + 6x + -4x = 16

Combine like terms: 6x + -4x = 2x
5 + 2x = 16

Solving
5 + 2x = 16

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 16 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 16 + -5
2x = 16 + -5

Combine like terms: 16 + -5 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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