Solve 10x - 7 = 4x + 5

Firstly, we want to gather similar terms. This means that we want to rearrange the equation so that all the x terms are on one side of the = sign and all the constants (the "ordinary" numbers) are on the other side.Gathering the x termsSubtracting 4x from both sides of the equation gives: 10x - 7 - 4x = 4x + 5 - 4xWhich simplifies to give: 6x - 7 = 5Gathering the constantsAdding 7 to both sides of the equation gives: 6x - 7 + 7 = 5 + 7Which simplifies to give: 6x = 12Now we solve for x by dividing each side by 6 to give: x = 2Thus the solution is x = 2.