3(2x-7)=x-4

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


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

Reorder the terms:
3(-7 + 2x) = x + -4
(-7 * 3 + 2x * 3) = x + -4
(-21 + 6x) = x + -4

Reorder the terms:
-21 + 6x = -4 + x

Solving
-21 + 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.
-21 + 6x + -1x = -4 + x + -1x

Combine like terms: 6x + -1x = 5x
-21 + 5x = -4 + x + -1x

Combine like terms: x + -1x = 0
-21 + 5x = -4 + 0
-21 + 5x = -4

Add '21' to each side of the equation.
-21 + 21 + 5x = -4 + 21

Combine like terms: -21 + 21 = 0
0 + 5x = -4 + 21
5x = -4 + 21

Combine like terms: -4 + 21 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4

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