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

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


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

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

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

Combine like terms: 7x + 2x = 9x
-6 + 9x = 6x + -3

Reorder the terms:
-6 + 9x = -3 + 6x

Solving
-6 + 9x = -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.
-6 + 9x + -6x = -3 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-6 + 3x = -3 + 6x + -6x

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

Add '6' to each side of the equation.
-6 + 6 + 3x = -3 + 6

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

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

Divide each side by '3'.
x = 1

Simplifying
x = 1

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