x+10(46-x)=163

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Solution for x+10(46-x)=163 equation:


Simplifying
x + 10(46 + -1x) = 163
x + (46 * 10 + -1x * 10) = 163
x + (460 + -10x) = 163

Reorder the terms:
460 + x + -10x = 163

Combine like terms: x + -10x = -9x
460 + -9x = 163

Solving
460 + -9x = 163

Solving for variable 'x'.

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

Add '-460' to each side of the equation.
460 + -460 + -9x = 163 + -460

Combine like terms: 460 + -460 = 0
0 + -9x = 163 + -460
-9x = 163 + -460

Combine like terms: 163 + -460 = -297
-9x = -297

Divide each side by '-9'.
x = 33

Simplifying
x = 33

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