2(x-4)-(x-3)=14

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Solution for 2(x-4)-(x-3)=14 equation:


Simplifying
2(x + -4) + -1(x + -3) = 14

Reorder the terms:
2(-4 + x) + -1(x + -3) = 14
(-4 * 2 + x * 2) + -1(x + -3) = 14
(-8 + 2x) + -1(x + -3) = 14

Reorder the terms:
-8 + 2x + -1(-3 + x) = 14
-8 + 2x + (-3 * -1 + x * -1) = 14
-8 + 2x + (3 + -1x) = 14

Reorder the terms:
-8 + 3 + 2x + -1x = 14

Combine like terms: -8 + 3 = -5
-5 + 2x + -1x = 14

Combine like terms: 2x + -1x = 1x
-5 + 1x = 14

Solving
-5 + 1x = 14

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 + 1x = 14 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 14 + 5
1x = 14 + 5

Combine like terms: 14 + 5 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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