2+9(4x+6)=7-4(9x-8)

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Solution for 2+9(4x+6)=7-4(9x-8) equation:


Simplifying
2 + 9(4x + 6) = 7 + -4(9x + -8)

Reorder the terms:
2 + 9(6 + 4x) = 7 + -4(9x + -8)
2 + (6 * 9 + 4x * 9) = 7 + -4(9x + -8)
2 + (54 + 36x) = 7 + -4(9x + -8)

Combine like terms: 2 + 54 = 56
56 + 36x = 7 + -4(9x + -8)

Reorder the terms:
56 + 36x = 7 + -4(-8 + 9x)
56 + 36x = 7 + (-8 * -4 + 9x * -4)
56 + 36x = 7 + (32 + -36x)

Combine like terms: 7 + 32 = 39
56 + 36x = 39 + -36x

Solving
56 + 36x = 39 + -36x

Solving for variable 'x'.

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

Add '36x' to each side of the equation.
56 + 36x + 36x = 39 + -36x + 36x

Combine like terms: 36x + 36x = 72x
56 + 72x = 39 + -36x + 36x

Combine like terms: -36x + 36x = 0
56 + 72x = 39 + 0
56 + 72x = 39

Add '-56' to each side of the equation.
56 + -56 + 72x = 39 + -56

Combine like terms: 56 + -56 = 0
0 + 72x = 39 + -56
72x = 39 + -56

Combine like terms: 39 + -56 = -17
72x = -17

Divide each side by '72'.
x = -0.2361111111

Simplifying
x = -0.2361111111

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