5(3x-7)-6=9(x-3)+4

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Solution for 5(3x-7)-6=9(x-3)+4 equation:


Simplifying
5(3x + -7) + -6 = 9(x + -3) + 4

Reorder the terms:
5(-7 + 3x) + -6 = 9(x + -3) + 4
(-7 * 5 + 3x * 5) + -6 = 9(x + -3) + 4
(-35 + 15x) + -6 = 9(x + -3) + 4

Reorder the terms:
-35 + -6 + 15x = 9(x + -3) + 4

Combine like terms: -35 + -6 = -41
-41 + 15x = 9(x + -3) + 4

Reorder the terms:
-41 + 15x = 9(-3 + x) + 4
-41 + 15x = (-3 * 9 + x * 9) + 4
-41 + 15x = (-27 + 9x) + 4

Reorder the terms:
-41 + 15x = -27 + 4 + 9x

Combine like terms: -27 + 4 = -23
-41 + 15x = -23 + 9x

Solving
-41 + 15x = -23 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-41 + 15x + -9x = -23 + 9x + -9x

Combine like terms: 15x + -9x = 6x
-41 + 6x = -23 + 9x + -9x

Combine like terms: 9x + -9x = 0
-41 + 6x = -23 + 0
-41 + 6x = -23

Add '41' to each side of the equation.
-41 + 41 + 6x = -23 + 41

Combine like terms: -41 + 41 = 0
0 + 6x = -23 + 41
6x = -23 + 41

Combine like terms: -23 + 41 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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