7(x-6)+3=2x-9

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Solution for 7(x-6)+3=2x-9 equation:


Simplifying
7(x + -6) + 3 = 2x + -9

Reorder the terms:
7(-6 + x) + 3 = 2x + -9
(-6 * 7 + x * 7) + 3 = 2x + -9
(-42 + 7x) + 3 = 2x + -9

Reorder the terms:
-42 + 3 + 7x = 2x + -9

Combine like terms: -42 + 3 = -39
-39 + 7x = 2x + -9

Reorder the terms:
-39 + 7x = -9 + 2x

Solving
-39 + 7x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-39 + 7x + -2x = -9 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-39 + 5x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-39 + 5x = -9 + 0
-39 + 5x = -9

Add '39' to each side of the equation.
-39 + 39 + 5x = -9 + 39

Combine like terms: -39 + 39 = 0
0 + 5x = -9 + 39
5x = -9 + 39

Combine like terms: -9 + 39 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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