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8(x-2)+4(x+4)=7(x+5)-10
We simplify the equation to the form, which is simple to understand
8(x-2)+4(x+4)=7(x+5)-10
Reorder the terms in parentheses
+(+8x-16)+4*(x+4)=7*(x+5)-10
Remove unnecessary parentheses
+8x-16+4+*(+x+4+)=+7+*(+x+5+)-10
Reorder the terms in parentheses
+8x-16+(+4x+16)=7*(x+5)-10
Remove unnecessary parentheses
+8x-16+4x+16=+7+*(+x+5+)-10
Reorder the terms in parentheses
+8x-16+4x+16=+(+7x+35)-10
Remove unnecessary parentheses
+8x-16+4x+16=+7x+35-10
We move all terms containing x to the left and all other terms to the right.
+8x+4x-7x=+35-10+16-16
We simplify left and right side of the equation.
+5x=+25
We divide both sides of the equation by 5 to get x.
x=5
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