2(3x-7)-(x-4)=5

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Solution for 2(3x-7)-(x-4)=5 equation:


Simplifying
2(3x + -7) + -1(x + -4) = 5

Reorder the terms:
2(-7 + 3x) + -1(x + -4) = 5
(-7 * 2 + 3x * 2) + -1(x + -4) = 5
(-14 + 6x) + -1(x + -4) = 5

Reorder the terms:
-14 + 6x + -1(-4 + x) = 5
-14 + 6x + (-4 * -1 + x * -1) = 5
-14 + 6x + (4 + -1x) = 5

Reorder the terms:
-14 + 4 + 6x + -1x = 5

Combine like terms: -14 + 4 = -10
-10 + 6x + -1x = 5

Combine like terms: 6x + -1x = 5x
-10 + 5x = 5

Solving
-10 + 5x = 5

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 5x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 5 + 10
5x = 5 + 10

Combine like terms: 5 + 10 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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