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

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


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

Reorder the terms:
2(-6 + x) + 7(x + 9) = 2(8)
(-6 * 2 + x * 2) + 7(x + 9) = 2(8)
(-12 + 2x) + 7(x + 9) = 2(8)

Reorder the terms:
-12 + 2x + 7(9 + x) = 2(8)
-12 + 2x + (9 * 7 + x * 7) = 2(8)
-12 + 2x + (63 + 7x) = 2(8)

Reorder the terms:
-12 + 63 + 2x + 7x = 2(8)

Combine like terms: -12 + 63 = 51
51 + 2x + 7x = 2(8)

Combine like terms: 2x + 7x = 9x
51 + 9x = 2(8)

Multiply 2 * 8
51 + 9x = 16

Solving
51 + 9x = 16

Solving for variable 'x'.

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

Add '-51' to each side of the equation.
51 + -51 + 9x = 16 + -51

Combine like terms: 51 + -51 = 0
0 + 9x = 16 + -51
9x = 16 + -51

Combine like terms: 16 + -51 = -35
9x = -35

Divide each side by '9'.
x = -3.888888889

Simplifying
x = -3.888888889

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