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51=4sqrtx+7

44/4=sqrtx

x=121

$51=7+4\times\sqrt{x}$

$51-7=7-7+4\times\sqrt{x}$

$44=7-7+4\times\sqrt{x}$

$44=0+4\times\sqrt{x}$

$44=4\times\sqrt{x}$

$\frac{44}{4}=\frac{4\times\sqrt{x}}{4}$

$11=\frac{4\times\sqrt{x}}{4}$

$11=1\times\sqrt{x}$

$11=\sqrt{x}$

${11}^{2}={\sqrt{x}}^{2}$

$121={\sqrt{x}}^{2}$

$121=x$

$x=121$