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

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


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

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

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

Combine like terms: 3x + 4x = 7x
-2 + 7x = 7(3x + -2)

Reorder the terms:
-2 + 7x = 7(-2 + 3x)
-2 + 7x = (-2 * 7 + 3x * 7)
-2 + 7x = (-14 + 21x)

Solving
-2 + 7x = -14 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-2 + 7x + -21x = -14 + 21x + -21x

Combine like terms: 7x + -21x = -14x
-2 + -14x = -14 + 21x + -21x

Combine like terms: 21x + -21x = 0
-2 + -14x = -14 + 0
-2 + -14x = -14

Add '2' to each side of the equation.
-2 + 2 + -14x = -14 + 2

Combine like terms: -2 + 2 = 0
0 + -14x = -14 + 2
-14x = -14 + 2

Combine like terms: -14 + 2 = -12
-14x = -12

Divide each side by '-14'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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