3(2x-7)=6-4(2-x)

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Solution for 3(2x-7)=6-4(2-x) equation:


Simplifying
3(2x + -7) = 6 + -4(2 + -1x)

Reorder the terms:
3(-7 + 2x) = 6 + -4(2 + -1x)
(-7 * 3 + 2x * 3) = 6 + -4(2 + -1x)
(-21 + 6x) = 6 + -4(2 + -1x)
-21 + 6x = 6 + (2 * -4 + -1x * -4)
-21 + 6x = 6 + (-8 + 4x)

Combine like terms: 6 + -8 = -2
-21 + 6x = -2 + 4x

Solving
-21 + 6x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-21 + 6x + -4x = -2 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-21 + 2x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + 2x = -2 + 0
-21 + 2x = -2

Add '21' to each side of the equation.
-21 + 21 + 2x = -2 + 21

Combine like terms: -21 + 21 = 0
0 + 2x = -2 + 21
2x = -2 + 21

Combine like terms: -2 + 21 = 19
2x = 19

Divide each side by '2'.
x = 9.5

Simplifying
x = 9.5

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