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

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


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

Reorder the terms:
5(-3 + x) + 9 = 3(x + 2) + 4x
(-3 * 5 + x * 5) + 9 = 3(x + 2) + 4x
(-15 + 5x) + 9 = 3(x + 2) + 4x

Reorder the terms:
-15 + 9 + 5x = 3(x + 2) + 4x

Combine like terms: -15 + 9 = -6
-6 + 5x = 3(x + 2) + 4x

Reorder the terms:
-6 + 5x = 3(2 + x) + 4x
-6 + 5x = (2 * 3 + x * 3) + 4x
-6 + 5x = (6 + 3x) + 4x

Combine like terms: 3x + 4x = 7x
-6 + 5x = 6 + 7x

Solving
-6 + 5x = 6 + 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.
-6 + 5x + -7x = 6 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-6 + -2x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -2x = 6 + 0
-6 + -2x = 6

Add '6' to each side of the equation.
-6 + 6 + -2x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 6 + 6
-2x = 6 + 6

Combine like terms: 6 + 6 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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