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

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


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

Reorder the terms:
6 + 8(-7 + x) = 7 + -9(x + -3)
6 + (-7 * 8 + x * 8) = 7 + -9(x + -3)
6 + (-56 + 8x) = 7 + -9(x + -3)

Combine like terms: 6 + -56 = -50
-50 + 8x = 7 + -9(x + -3)

Reorder the terms:
-50 + 8x = 7 + -9(-3 + x)
-50 + 8x = 7 + (-3 * -9 + x * -9)
-50 + 8x = 7 + (27 + -9x)

Combine like terms: 7 + 27 = 34
-50 + 8x = 34 + -9x

Solving
-50 + 8x = 34 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-50 + 8x + 9x = 34 + -9x + 9x

Combine like terms: 8x + 9x = 17x
-50 + 17x = 34 + -9x + 9x

Combine like terms: -9x + 9x = 0
-50 + 17x = 34 + 0
-50 + 17x = 34

Add '50' to each side of the equation.
-50 + 50 + 17x = 34 + 50

Combine like terms: -50 + 50 = 0
0 + 17x = 34 + 50
17x = 34 + 50

Combine like terms: 34 + 50 = 84
17x = 84

Divide each side by '17'.
x = 4.941176471

Simplifying
x = 4.941176471

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