Answer:
x = 5
Explanation:
To solve for 'x' in this equation, you need to isolate it, which means to move all of the other numbers to the other side of the = equal sign. To move a number to the other side, perform its reverse operation to both sides of the equation. A reverse operation will 'cancel out' the number you want to move. (The reverse operation for addition is subtraction, for division it's multiplication.)
Before starting to isolate, always simplify the equation. This includes collecting like terms (numbers with the same variables).
-105 + 145 = 6x + 4x - 2x Collect like terms first
40 = 6x + 4x - 2x Collected like terms on the left side (-105+145 = 145-105 = 40)
40 = 8x Collected like terms on the right side (6x+4x-2x = 8x)
40/8 = 8x/8 The reverse operation for x times 8 is dividing both sides by 8.
40/8 = x 8x/8 cancelled out the 8. Solve the left side.
5 = x Solved for 'x'
x = 5 Write the variable on the left side for standard formatting