5(x+9)-3(x-7)=11(x+2)-1

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Solution for 5(x+9)-3(x-7)=11(x+2)-1 equation:


Simplifying
5(x + 9) + -3(x + -7) = 11(x + 2) + -1

Reorder the terms:
5(9 + x) + -3(x + -7) = 11(x + 2) + -1
(9 * 5 + x * 5) + -3(x + -7) = 11(x + 2) + -1
(45 + 5x) + -3(x + -7) = 11(x + 2) + -1

Reorder the terms:
45 + 5x + -3(-7 + x) = 11(x + 2) + -1
45 + 5x + (-7 * -3 + x * -3) = 11(x + 2) + -1
45 + 5x + (21 + -3x) = 11(x + 2) + -1

Reorder the terms:
45 + 21 + 5x + -3x = 11(x + 2) + -1

Combine like terms: 45 + 21 = 66
66 + 5x + -3x = 11(x + 2) + -1

Combine like terms: 5x + -3x = 2x
66 + 2x = 11(x + 2) + -1

Reorder the terms:
66 + 2x = 11(2 + x) + -1
66 + 2x = (2 * 11 + x * 11) + -1
66 + 2x = (22 + 11x) + -1

Reorder the terms:
66 + 2x = 22 + -1 + 11x

Combine like terms: 22 + -1 = 21
66 + 2x = 21 + 11x

Solving
66 + 2x = 21 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
66 + 2x + -11x = 21 + 11x + -11x

Combine like terms: 2x + -11x = -9x
66 + -9x = 21 + 11x + -11x

Combine like terms: 11x + -11x = 0
66 + -9x = 21 + 0
66 + -9x = 21

Add '-66' to each side of the equation.
66 + -66 + -9x = 21 + -66

Combine like terms: 66 + -66 = 0
0 + -9x = 21 + -66
-9x = 21 + -66

Combine like terms: 21 + -66 = -45
-9x = -45

Divide each side by '-9'.
x = 5

Simplifying
x = 5

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