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

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


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

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

Combine like terms: 3 + -56 = -53
-53 + 7x = 7 + -9(x + -3)

Reorder the terms:
-53 + 7x = 7 + -9(-3 + x)
-53 + 7x = 7 + (-3 * -9 + x * -9)
-53 + 7x = 7 + (27 + -9x)

Combine like terms: 7 + 27 = 34
-53 + 7x = 34 + -9x

Solving
-53 + 7x = 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.
-53 + 7x + 9x = 34 + -9x + 9x

Combine like terms: 7x + 9x = 16x
-53 + 16x = 34 + -9x + 9x

Combine like terms: -9x + 9x = 0
-53 + 16x = 34 + 0
-53 + 16x = 34

Add '53' to each side of the equation.
-53 + 53 + 16x = 34 + 53

Combine like terms: -53 + 53 = 0
0 + 16x = 34 + 53
16x = 34 + 53

Combine like terms: 34 + 53 = 87
16x = 87

Divide each side by '16'.
x = 5.4375

Simplifying
x = 5.4375

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