Solve the equation step by step:
\[ 6x + 3x - (x - 10) = 20x \]
Answer (3)
in equations we always want to do the same thing to both sides so the equation stays equal
in an equation with one unknown (x) we try to get the unknown on one side
so -(x-10) this means that you multiply everything in the equation by -1 or in other words you make everything in the parenthasees the opposite sign of what it is so
6x+3x-x+10=20x add like terms 8x+10=20x subtract 8x from boths sides 10=12x divide both sides by 12 10/12=x=5/6
6x+3x-(x-10)=20x Distribute -1 to (x-10) 6x+3x-x-(-10)=20x 9x-x-(-10)=20x 8x-(-10)=20x Subtract 8x to 20x -10=12x Divide 12x to -10 -1.2=x
The solution to the equation 6 x + 3 x − ( x − 10 ) = 20 x is x = 6 5 . The steps involved simplifying the expression, combining like terms, isolating the variable, and solving for x .
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