2(3x-7)=x-4

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


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

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

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

Solving
-14 + 6x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-14 + 6x + -1x = -4 + x + -1x

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

Combine like terms: x + -1x = 0
-14 + 5x = -4 + 0
-14 + 5x = -4

Add '14' to each side of the equation.
-14 + 14 + 5x = -4 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = -4 + 14
5x = -4 + 14

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

Divide each side by '5'.
x = 2

Simplifying
x = 2

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