10x+6=-7(x-9)

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Solution for 10x+6=-7(x-9) equation:


Simplifying
10x + 6 = -7(x + -9)

Reorder the terms:
6 + 10x = -7(x + -9)

Reorder the terms:
6 + 10x = -7(-9 + x)
6 + 10x = (-9 * -7 + x * -7)
6 + 10x = (63 + -7x)

Solving
6 + 10x = 63 + -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.
6 + 10x + 7x = 63 + -7x + 7x

Combine like terms: 10x + 7x = 17x
6 + 17x = 63 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 17x = 63 + 0
6 + 17x = 63

Add '-6' to each side of the equation.
6 + -6 + 17x = 63 + -6

Combine like terms: 6 + -6 = 0
0 + 17x = 63 + -6
17x = 63 + -6

Combine like terms: 63 + -6 = 57
17x = 57

Divide each side by '17'.
x = 3.352941176

Simplifying
x = 3.352941176

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