2+4(x-3)=9-9(x-8)

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Solution for 2+4(x-3)=9-9(x-8) equation:


Simplifying
2 + 4(x + -3) = 9 + -9(x + -8)

Reorder the terms:
2 + 4(-3 + x) = 9 + -9(x + -8)
2 + (-3 * 4 + x * 4) = 9 + -9(x + -8)
2 + (-12 + 4x) = 9 + -9(x + -8)

Combine like terms: 2 + -12 = -10
-10 + 4x = 9 + -9(x + -8)

Reorder the terms:
-10 + 4x = 9 + -9(-8 + x)
-10 + 4x = 9 + (-8 * -9 + x * -9)
-10 + 4x = 9 + (72 + -9x)

Combine like terms: 9 + 72 = 81
-10 + 4x = 81 + -9x

Solving
-10 + 4x = 81 + -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.
-10 + 4x + 9x = 81 + -9x + 9x

Combine like terms: 4x + 9x = 13x
-10 + 13x = 81 + -9x + 9x

Combine like terms: -9x + 9x = 0
-10 + 13x = 81 + 0
-10 + 13x = 81

Add '10' to each side of the equation.
-10 + 10 + 13x = 81 + 10

Combine like terms: -10 + 10 = 0
0 + 13x = 81 + 10
13x = 81 + 10

Combine like terms: 81 + 10 = 91
13x = 91

Divide each side by '13'.
x = 7

Simplifying
x = 7

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