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

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


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

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

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

Combine like terms: -36 + -7 = -43
-43 + 9x = 5(3x + -2)

Reorder the terms:
-43 + 9x = 5(-2 + 3x)
-43 + 9x = (-2 * 5 + 3x * 5)
-43 + 9x = (-10 + 15x)

Solving
-43 + 9x = -10 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-43 + 9x + -15x = -10 + 15x + -15x

Combine like terms: 9x + -15x = -6x
-43 + -6x = -10 + 15x + -15x

Combine like terms: 15x + -15x = 0
-43 + -6x = -10 + 0
-43 + -6x = -10

Add '43' to each side of the equation.
-43 + 43 + -6x = -10 + 43

Combine like terms: -43 + 43 = 0
0 + -6x = -10 + 43
-6x = -10 + 43

Combine like terms: -10 + 43 = 33
-6x = 33

Divide each side by '-6'.
x = -5.5

Simplifying
x = -5.5

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