7(x-3)-3(2-x)-13=0

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Solution for 7(x-3)-3(2-x)-13=0 equation:


Simplifying
7(x + -3) + -3(2 + -1x) + -13 = 0

Reorder the terms:
7(-3 + x) + -3(2 + -1x) + -13 = 0
(-3 * 7 + x * 7) + -3(2 + -1x) + -13 = 0
(-21 + 7x) + -3(2 + -1x) + -13 = 0
-21 + 7x + (2 * -3 + -1x * -3) + -13 = 0
-21 + 7x + (-6 + 3x) + -13 = 0

Reorder the terms:
-21 + -6 + -13 + 7x + 3x = 0

Combine like terms: -21 + -6 = -27
-27 + -13 + 7x + 3x = 0

Combine like terms: -27 + -13 = -40
-40 + 7x + 3x = 0

Combine like terms: 7x + 3x = 10x
-40 + 10x = 0

Solving
-40 + 10x = 0

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 10x = 0 + 40

Combine like terms: -40 + 40 = 0
0 + 10x = 0 + 40
10x = 0 + 40

Combine like terms: 0 + 40 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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