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Solve the following equation for
x. Express your answer in the simplest form.

-2(3x-1)=-6x+2

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $-2(3 x-1)=-6 x+2$ $\newline$

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Find the roots of factored polynomials

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

-2(3 x-1)=-6 x+2

\newline

Distribute $-2$ : First, distribute the $-2$ across the terms inside the parentheses on the left side of the equation. $-2 \times 3x = -6x$ $-2 \times -1 = 2$ So the equation becomes: $-6x + 2 = -6x + 2$
Identify Same Terms: Next, observe that both sides of the equation have the same terms, $-6x + 2$ . This suggests that the equation is true for all values of $x$ , meaning the solution is all real numbers.
Final Solution: Since the equation simplifies to $0 = 0$ after subtracting $-6x + 2$ from both sides, there is no need to perform any further operations. The solution is all real numbers.

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