15-(2x-9)=7x+74

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Solution for 15-(2x-9)=7x+74 equation:


Simplifying
15 + -1(2x + -9) = 7x + 74

Reorder the terms:
15 + -1(-9 + 2x) = 7x + 74
15 + (-9 * -1 + 2x * -1) = 7x + 74
15 + (9 + -2x) = 7x + 74

Combine like terms: 15 + 9 = 24
24 + -2x = 7x + 74

Reorder the terms:
24 + -2x = 74 + 7x

Solving
24 + -2x = 74 + 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.
24 + -2x + -7x = 74 + 7x + -7x

Combine like terms: -2x + -7x = -9x
24 + -9x = 74 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -9x = 74 + 0
24 + -9x = 74

Add '-24' to each side of the equation.
24 + -24 + -9x = 74 + -24

Combine like terms: 24 + -24 = 0
0 + -9x = 74 + -24
-9x = 74 + -24

Combine like terms: 74 + -24 = 50
-9x = 50

Divide each side by '-9'.
x = -5.555555556

Simplifying
x = -5.555555556

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