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Make x the subject of the equation

ax=b(c+x)
Show workings

ax = b(c+x)

ax - bx = bc

x(a-b) = bc

x = bc/(a-b)

Did you know?

Did you know that when solving equations, you can make a specific variable the subject of the equation to simplify the problem? For instance, in the equation ax = b(c + x), if we want to make x the subject, we would start by distributing the b to both terms inside the parentheses. This leads us to bx + bx = b(c) + bx. Next, we can combine like terms by subtracting bx from both sides of the equation. This will result in bx = b(c) + bx - bx. Finally, by subtracting b(c) from both sides, we can isolate x, which gives us bx - bx = b(c) - b(c). As a result, the equation simplifies to 0 = b(c) - b(c), allowing us to conclude that x can be any real number. This technique of changing the subject can be quite helpful in solving a wide range of equations.