5+3(x-4)=11-9(x-9)

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Solution for 5+3(x-4)=11-9(x-9) equation:


Simplifying
5 + 3(x + -4) = 11 + -9(x + -9)

Reorder the terms:
5 + 3(-4 + x) = 11 + -9(x + -9)
5 + (-4 * 3 + x * 3) = 11 + -9(x + -9)
5 + (-12 + 3x) = 11 + -9(x + -9)

Combine like terms: 5 + -12 = -7
-7 + 3x = 11 + -9(x + -9)

Reorder the terms:
-7 + 3x = 11 + -9(-9 + x)
-7 + 3x = 11 + (-9 * -9 + x * -9)
-7 + 3x = 11 + (81 + -9x)

Combine like terms: 11 + 81 = 92
-7 + 3x = 92 + -9x

Solving
-7 + 3x = 92 + -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.
-7 + 3x + 9x = 92 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-7 + 12x = 92 + -9x + 9x

Combine like terms: -9x + 9x = 0
-7 + 12x = 92 + 0
-7 + 12x = 92

Add '7' to each side of the equation.
-7 + 7 + 12x = 92 + 7

Combine like terms: -7 + 7 = 0
0 + 12x = 92 + 7
12x = 92 + 7

Combine like terms: 92 + 7 = 99
12x = 99

Divide each side by '12'.
x = 8.25

Simplifying
x = 8.25

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