Solving this equation, we have:
[tex]\begin{gathered} 1.\text{ Distributive property in the right side:} \\ -3x+4=5\cdot2x+5\cdot(-7) \\ -3x+4=10x-35 \\ 2.\text{ Put like terms in the same side:} \\ -3x-10x=-35-4 \\ 3.\text{ Add like terms:} \\ -13x=-39 \\ 4.\text{ Divide both sides by the constant multiplying the variable:} \\ x=\frac{-39}{-13} \\ x=3 \end{gathered}[/tex]So the value of x is 3.