(3x+9)-4=2(2x-15)

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Solution for (3x+9)-4=2(2x-15) equation:


Simplifying
(3x + 9) + -4 = 2(2x + -15)

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

Remove parenthesis around (9 + 3x)
9 + 3x + -4 = 2(2x + -15)

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

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

Reorder the terms:
5 + 3x = 2(-15 + 2x)
5 + 3x = (-15 * 2 + 2x * 2)
5 + 3x = (-30 + 4x)

Solving
5 + 3x = -30 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 3x + -4x = -30 + 4x + -4x

Combine like terms: 3x + -4x = -1x
5 + -1x = -30 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -1x = -30 + 0
5 + -1x = -30

Add '-5' to each side of the equation.
5 + -5 + -1x = -30 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -30 + -5
-1x = -30 + -5

Combine like terms: -30 + -5 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35

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