Final answer:
To simplify the given expression, distribute terms and combine like terms to solve for x.
Step-by-step explanation:
To simplify the given expression -7(2x-3)+2x=3(x+5), we can start by distributing the -7 and 3 terms to the terms inside the parentheses. This gives us -14x + 21 + 2x = 3x + 15. Next, we can combine like terms by adding or subtracting the coefficients of the same variable. -14x + 2x + 21 = 3x + 15 simplifies to -12x + 21 = 3x + 15. Rearranging the equation by adding 12x and subtracting 21 from both sides gives us 3x + 15 = -12x + 21. Finally, we can combine like terms again to get 15 = -15x + 21. Subtracting 21 from both sides and then dividing by -15 gives us -6 = -x. Therefore, x = 6.
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