Solving linear equations Collect the variable terms on one side. Isolate the variable Check in the original equation. Example: Solve 2 3(t 2) = 5t Removing the parentheses: Combine like terms: Collect all variable terms on one side: Isolate the variable: Simplify Check: 2 3t+6= 5t -3t+8 = 5t -3t 5t=-8 -8t=-8 -8t -8 -8 t=1 -8 2-3(1-2)=5(1) 2-3(-1)=5 2+3 5 true #2 Solve each equation for x. a) 2x-5=7-3(x+1) b) 2x + y = 3 c) x 1 = 5