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

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


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

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

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

Reorder the terms:
-21 + 7x = -6 + 3x + 3x

Combine like terms: 3x + 3x = 6x
-21 + 7x = -6 + 6x

Solving
-21 + 7x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-21 + 7x + -6x = -6 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-21 + 1x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-21 + 1x = -6 + 0
-21 + 1x = -6

Add '21' to each side of the equation.
-21 + 21 + 1x = -6 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = -6 + 21
1x = -6 + 21

Combine like terms: -6 + 21 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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