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

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


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

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

Reorder the terms:
-3 + 3x = 2(2 + 7x)
-3 + 3x = (2 * 2 + 7x * 2)
-3 + 3x = (4 + 14x)

Solving
-3 + 3x = 4 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-3 + 3x + -14x = 4 + 14x + -14x

Combine like terms: 3x + -14x = -11x
-3 + -11x = 4 + 14x + -14x

Combine like terms: 14x + -14x = 0
-3 + -11x = 4 + 0
-3 + -11x = 4

Add '3' to each side of the equation.
-3 + 3 + -11x = 4 + 3

Combine like terms: -3 + 3 = 0
0 + -11x = 4 + 3
-11x = 4 + 3

Combine like terms: 4 + 3 = 7
-11x = 7

Divide each side by '-11'.
x = -0.6363636364

Simplifying
x = -0.6363636364

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