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7(t-4)+7t=7(2t+5)-10
We simplify the equation to the form, which is simple to understand
7(t-4)+7t=7(2t+5)-10
Reorder the terms in parentheses
+(+7t-28)+7t=7*(2t+5)-10
Remove unnecessary parentheses
+7t-28+7t=+7+*(+2t+5+)-10
Reorder the terms in parentheses
+7t-28+7t=+(+14t+35)-10
Remove unnecessary parentheses
+7t-28+7t=+14t+35-10
We move all terms containing t to the left and all other terms to the right.
+7t+7t-14t=+35-10+28
We simplify left and right side of the equation.
t=+53
0=53
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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