3(2x-1)=7(x+2)

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Solution for 3(2x-1)=7(x+2) equation:


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

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

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

Solving
-3 + 6x = 14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-3 + 6x + -7x = 14 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-3 + -1x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + -1x = 14 + 0
-3 + -1x = 14

Add '3' to each side of the equation.
-3 + 3 + -1x = 14 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 14 + 3
-1x = 14 + 3

Combine like terms: 14 + 3 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17

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