4 ⋅ ( x − 3 ) + 7 − 10 x = 5 4 ⋅ x + 4 ⋅ ( − 3 ) + 7 − 10 x = 5 4 x − 12 + 7 − 10 x = 5 − 6 x − 5 = 5 / + 5 − 6 x − 5 + 5 = 5 + 5 − 6 x = 10 / : ( − 6 ) − 6 x : ( − 6 ) = 10 : ( − 6 ) x = − 6 10 x = − 3 5 x = − 1 3 2
To solve the equation 4 ( x − 3 ) + 7 − 10 x = 5 , we distribute, combine like terms, and isolate x , yielding x = − 3 5 . This solution can be validated by substituting back into the original equation. Thus, the final answer is x = − 3 5 .
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