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

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


Simplifying
6(x + 9) + -1(-2x + -9) = 7x

Reorder the terms:
6(9 + x) + -1(-2x + -9) = 7x
(9 * 6 + x * 6) + -1(-2x + -9) = 7x
(54 + 6x) + -1(-2x + -9) = 7x

Reorder the terms:
54 + 6x + -1(-9 + -2x) = 7x
54 + 6x + (-9 * -1 + -2x * -1) = 7x
54 + 6x + (9 + 2x) = 7x

Reorder the terms:
54 + 9 + 6x + 2x = 7x

Combine like terms: 54 + 9 = 63
63 + 6x + 2x = 7x

Combine like terms: 6x + 2x = 8x
63 + 8x = 7x

Solving
63 + 8x = 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.
63 + 8x + -7x = 7x + -7x

Combine like terms: 8x + -7x = 1x
63 + 1x = 7x + -7x

Combine like terms: 7x + -7x = 0
63 + 1x = 0

Add '-63' to each side of the equation.
63 + -63 + 1x = 0 + -63

Combine like terms: 63 + -63 = 0
0 + 1x = 0 + -63
1x = 0 + -63

Combine like terms: 0 + -63 = -63
1x = -63

Divide each side by '1'.
x = -63

Simplifying
x = -63

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