9(x-4)-3(x-7)=5(x-2)

Solution for 9(x-4)-3(x-7)=5(x-2) equation:

Simplifying
9(x + -4) + -3(x + -7) = 5(x + -2)

Reorder the terms:
9(-4 + x) + -3(x + -7) = 5(x + -2)
(-4 * 9 + x * 9) + -3(x + -7) = 5(x + -2)
(-36 + 9x) + -3(x + -7) = 5(x + -2)

Reorder the terms:
-36 + 9x + -3(-7 + x) = 5(x + -2)
-36 + 9x + (-7 * -3 + x * -3) = 5(x + -2)
-36 + 9x + (21 + -3x) = 5(x + -2)

Reorder the terms:
-36 + 21 + 9x + -3x = 5(x + -2)

Combine like terms: -36 + 21 = -15
-15 + 9x + -3x = 5(x + -2)

Combine like terms: 9x + -3x = 6x
-15 + 6x = 5(x + -2)

Reorder the terms:
-15 + 6x = 5(-2 + x)
-15 + 6x = (-2 * 5 + x * 5)
-15 + 6x = (-10 + 5x)

Solving
-15 + 6x = -10 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-15 + 6x + -5x = -10 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-15 + 1x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + 1x = -10 + 0
-15 + 1x = -10

Add '15' to each side of the equation.
-15 + 15 + 1x = -10 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -10 + 15
1x = -10 + 15

Combine like terms: -10 + 15 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5