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 = -34
8x = -34

Divide each side by '8'.
x = -4.25

Simplifying
x = -4.25

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