6(9x-87)=7-(10-5x)

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Solution for 6(9x-87)=7-(10-5x) equation:


Simplifying
6(9x + -87) = 7 + -1(10 + -5x)

Reorder the terms:
6(-87 + 9x) = 7 + -1(10 + -5x)
(-87 * 6 + 9x * 6) = 7 + -1(10 + -5x)
(-522 + 54x) = 7 + -1(10 + -5x)
-522 + 54x = 7 + (10 * -1 + -5x * -1)
-522 + 54x = 7 + (-10 + 5x)

Combine like terms: 7 + -10 = -3
-522 + 54x = -3 + 5x

Solving
-522 + 54x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-522 + 54x + -5x = -3 + 5x + -5x

Combine like terms: 54x + -5x = 49x
-522 + 49x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-522 + 49x = -3 + 0
-522 + 49x = -3

Add '522' to each side of the equation.
-522 + 522 + 49x = -3 + 522

Combine like terms: -522 + 522 = 0
0 + 49x = -3 + 522
49x = -3 + 522

Combine like terms: -3 + 522 = 519
49x = 519

Divide each side by '49'.
x = 10.59183673

Simplifying
x = 10.59183673

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