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

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Solution for 11(x-2)+7=9x-3 equation:


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

Reorder the terms:
11(-2 + x) + 7 = 9x + -3
(-2 * 11 + x * 11) + 7 = 9x + -3
(-22 + 11x) + 7 = 9x + -3

Reorder the terms:
-22 + 7 + 11x = 9x + -3

Combine like terms: -22 + 7 = -15
-15 + 11x = 9x + -3

Reorder the terms:
-15 + 11x = -3 + 9x

Solving
-15 + 11x = -3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-15 + 11x + -9x = -3 + 9x + -9x

Combine like terms: 11x + -9x = 2x
-15 + 2x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
-15 + 2x = -3 + 0
-15 + 2x = -3

Add '15' to each side of the equation.
-15 + 15 + 2x = -3 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = -3 + 15
2x = -3 + 15

Combine like terms: -3 + 15 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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