# Solve 2t-3(t+8)=-(1-4t)+10 for t. Simplify all fractions or roun

Solve $$\displaystyle{2}{t}-{3}{\left({t}+{8}\right)}=-{\left({1}-{4}{t}\right)}+{10}$$ for t. Simplify all fractions or round decimals to two places.

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Uersfeldte
Step 1
Given, $$\displaystyle{2}{t}-{3}{\left({t}+{8}\right)}=-{\left({1}-{4}{t}\right)}+{10}$$
$$\displaystyle{2}{t}-{3}{t}-{24}=-{1}+{4}{t}+{10}$$
$$\displaystyle-{t}-{24}={4}{t}-{1}+{10}$$
Step 2
$$\displaystyle-{t}-{24}={4}{t}+{9}$$
$$\displaystyle-{t}-{4}{t}={24}+{9}$$
$$\displaystyle-{5}{t}={33}$$
$$\displaystyle{t}={\frac{{-{33}}}{{{5}}}}$$
$$\displaystyle{t}=-{6}\cdot{6}$$