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

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


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

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

Reorder the terms:
-42 + 2 + 7x = 6x + -3

Combine like terms: -42 + 2 = -40
-40 + 7x = 6x + -3

Reorder the terms:
-40 + 7x = -3 + 6x

Solving
-40 + 7x = -3 + 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.
-40 + 7x + -6x = -3 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-40 + 1x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-40 + 1x = -3 + 0
-40 + 1x = -3

Add '40' to each side of the equation.
-40 + 40 + 1x = -3 + 40

Combine like terms: -40 + 40 = 0
0 + 1x = -3 + 40
1x = -3 + 40

Combine like terms: -3 + 40 = 37
1x = 37

Divide each side by '1'.
x = 37

Simplifying
x = 37

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