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

-3(4x+5)=-12 x-14

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $-3(4 x+5)=-12 x-14$ $\newline$

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Multiply polynomials

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

-3(4 x+5)=-12 x-14

\newline

Distribute $-3$ : First, distribute the $-3$ across the terms inside the parentheses. $\newline$ $-3(4x+5) = -3 \times 4x + (-3) \times 5$ $\newline$ This simplifies to: $\newline$ $-12x - 15 = -12x - 14$
Eliminate x terms: Next, we observe that we have $-12x$ on both sides of the equation. We can add $12x$ to both sides to eliminate the x terms. $(-12x - 15) + 12x = (-12x - 14) + 12x$ This simplifies to: $-15 = -14$
Identify inconsistency: We now see that we have a statement that says $-15 = -14$ , which is not true. This indicates that there is no solution for $x$ that would satisfy the original equation. The equation is inconsistent.

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