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

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


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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
-21 + 4x = -6 + 0
-21 + 4x = -6

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

Combine like terms: -21 + 21 = 0
0 + 4x = -6 + 21
4x = -6 + 21

Combine like terms: -6 + 21 = 15
4x = 15

Divide each side by '4'.
x = 3.75

Simplifying
x = 3.75

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