5(3x-9)=7x+11

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Solution for 5(3x-9)=7x+11 equation:


Simplifying
5(3x + -9) = 7x + 11

Reorder the terms:
5(-9 + 3x) = 7x + 11
(-9 * 5 + 3x * 5) = 7x + 11
(-45 + 15x) = 7x + 11

Reorder the terms:
-45 + 15x = 11 + 7x

Solving
-45 + 15x = 11 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-45 + 15x + -7x = 11 + 7x + -7x

Combine like terms: 15x + -7x = 8x
-45 + 8x = 11 + 7x + -7x

Combine like terms: 7x + -7x = 0
-45 + 8x = 11 + 0
-45 + 8x = 11

Add '45' to each side of the equation.
-45 + 45 + 8x = 11 + 45

Combine like terms: -45 + 45 = 0
0 + 8x = 11 + 45
8x = 11 + 45

Combine like terms: 11 + 45 = 56
8x = 56

Divide each side by '8'.
x = 7

Simplifying
x = 7

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