9(193-x)=158+2(x-3)

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Solution for 9(193-x)=158+2(x-3) equation:


Simplifying
9(193 + -1x) = 158 + 2(x + -3)
(193 * 9 + -1x * 9) = 158 + 2(x + -3)
(1737 + -9x) = 158 + 2(x + -3)

Reorder the terms:
1737 + -9x = 158 + 2(-3 + x)
1737 + -9x = 158 + (-3 * 2 + x * 2)
1737 + -9x = 158 + (-6 + 2x)

Combine like terms: 158 + -6 = 152
1737 + -9x = 152 + 2x

Solving
1737 + -9x = 152 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1737 + -9x + -2x = 152 + 2x + -2x

Combine like terms: -9x + -2x = -11x
1737 + -11x = 152 + 2x + -2x

Combine like terms: 2x + -2x = 0
1737 + -11x = 152 + 0
1737 + -11x = 152

Add '-1737' to each side of the equation.
1737 + -1737 + -11x = 152 + -1737

Combine like terms: 1737 + -1737 = 0
0 + -11x = 152 + -1737
-11x = 152 + -1737

Combine like terms: 152 + -1737 = -1585
-11x = -1585

Divide each side by '-11'.
x = 144.0909091

Simplifying
x = 144.0909091

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