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

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


Simplifying
4(5 + x) = 3(3x + -2) + -9
(5 * 4 + x * 4) = 3(3x + -2) + -9
(20 + 4x) = 3(3x + -2) + -9

Reorder the terms:
20 + 4x = 3(-2 + 3x) + -9
20 + 4x = (-2 * 3 + 3x * 3) + -9
20 + 4x = (-6 + 9x) + -9

Reorder the terms:
20 + 4x = -6 + -9 + 9x

Combine like terms: -6 + -9 = -15
20 + 4x = -15 + 9x

Solving
20 + 4x = -15 + 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.
20 + 4x + -9x = -15 + 9x + -9x

Combine like terms: 4x + -9x = -5x
20 + -5x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + -5x = -15 + 0
20 + -5x = -15

Add '-20' to each side of the equation.
20 + -20 + -5x = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -15 + -20
-5x = -15 + -20

Combine like terms: -15 + -20 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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