7(x-3)-3(x+2)=0

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Solution for 7(x-3)-3(x+2)=0 equation:


Simplifying
7(x + -3) + -3(x + 2) = 0

Reorder the terms:
7(-3 + x) + -3(x + 2) = 0
(-3 * 7 + x * 7) + -3(x + 2) = 0
(-21 + 7x) + -3(x + 2) = 0

Reorder the terms:
-21 + 7x + -3(2 + x) = 0
-21 + 7x + (2 * -3 + x * -3) = 0
-21 + 7x + (-6 + -3x) = 0

Reorder the terms:
-21 + -6 + 7x + -3x = 0

Combine like terms: -21 + -6 = -27
-27 + 7x + -3x = 0

Combine like terms: 7x + -3x = 4x
-27 + 4x = 0

Solving
-27 + 4x = 0

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 4x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 4x = 0 + 27
4x = 0 + 27

Combine like terms: 0 + 27 = 27
4x = 27

Divide each side by '4'.
x = 6.75

Simplifying
x = 6.75

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