3+6(x-8)=9-7(x-7)

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Solution for 3+6(x-8)=9-7(x-7) equation:


Simplifying
3 + 6(x + -8) = 9 + -7(x + -7)

Reorder the terms:
3 + 6(-8 + x) = 9 + -7(x + -7)
3 + (-8 * 6 + x * 6) = 9 + -7(x + -7)
3 + (-48 + 6x) = 9 + -7(x + -7)

Combine like terms: 3 + -48 = -45
-45 + 6x = 9 + -7(x + -7)

Reorder the terms:
-45 + 6x = 9 + -7(-7 + x)
-45 + 6x = 9 + (-7 * -7 + x * -7)
-45 + 6x = 9 + (49 + -7x)

Combine like terms: 9 + 49 = 58
-45 + 6x = 58 + -7x

Solving
-45 + 6x = 58 + -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.
-45 + 6x + 7x = 58 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-45 + 13x = 58 + -7x + 7x

Combine like terms: -7x + 7x = 0
-45 + 13x = 58 + 0
-45 + 13x = 58

Add '45' to each side of the equation.
-45 + 45 + 13x = 58 + 45

Combine like terms: -45 + 45 = 0
0 + 13x = 58 + 45
13x = 58 + 45

Combine like terms: 58 + 45 = 103
13x = 103

Divide each side by '13'.
x = 7.923076923

Simplifying
x = 7.923076923

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