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

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


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

Reorder the terms:
9 + 2x = 4 + -7(x + -8)

Reorder the terms:
9 + 2x = 4 + -7(-8 + x)
9 + 2x = 4 + (-8 * -7 + x * -7)
9 + 2x = 4 + (56 + -7x)

Combine like terms: 4 + 56 = 60
9 + 2x = 60 + -7x

Solving
9 + 2x = 60 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
9 + 2x + 7x = 60 + -7x + 7x

Combine like terms: 2x + 7x = 9x
9 + 9x = 60 + -7x + 7x

Combine like terms: -7x + 7x = 0
9 + 9x = 60 + 0
9 + 9x = 60

Add '-9' to each side of the equation.
9 + -9 + 9x = 60 + -9

Combine like terms: 9 + -9 = 0
0 + 9x = 60 + -9
9x = 60 + -9

Combine like terms: 60 + -9 = 51
9x = 51

Divide each side by '9'.
x = 5.666666667

Simplifying
x = 5.666666667

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