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

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


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

Reorder the terms:
3(-3 + x) = 7(2x + 1)
(-3 * 3 + x * 3) = 7(2x + 1)
(-9 + 3x) = 7(2x + 1)

Reorder the terms:
-9 + 3x = 7(1 + 2x)
-9 + 3x = (1 * 7 + 2x * 7)
-9 + 3x = (7 + 14x)

Solving
-9 + 3x = 7 + 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.
-9 + 3x + -14x = 7 + 14x + -14x

Combine like terms: 3x + -14x = -11x
-9 + -11x = 7 + 14x + -14x

Combine like terms: 14x + -14x = 0
-9 + -11x = 7 + 0
-9 + -11x = 7

Add '9' to each side of the equation.
-9 + 9 + -11x = 7 + 9

Combine like terms: -9 + 9 = 0
0 + -11x = 7 + 9
-11x = 7 + 9

Combine like terms: 7 + 9 = 16
-11x = 16

Divide each side by '-11'.
x = -1.454545455

Simplifying
x = -1.454545455

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