3x+15=4(x+9)-20

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Solution for 3x+15=4(x+9)-20 equation:


Simplifying
3x + 15 = 4(x + 9) + -20

Reorder the terms:
15 + 3x = 4(x + 9) + -20

Reorder the terms:
15 + 3x = 4(9 + x) + -20
15 + 3x = (9 * 4 + x * 4) + -20
15 + 3x = (36 + 4x) + -20

Reorder the terms:
15 + 3x = 36 + -20 + 4x

Combine like terms: 36 + -20 = 16
15 + 3x = 16 + 4x

Solving
15 + 3x = 16 + 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.
15 + 3x + -4x = 16 + 4x + -4x

Combine like terms: 3x + -4x = -1x
15 + -1x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -1x = 16 + 0
15 + -1x = 16

Add '-15' to each side of the equation.
15 + -15 + -1x = 16 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 16 + -15
-1x = 16 + -15

Combine like terms: 16 + -15 = 1
-1x = 1

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

Simplifying
x = -1

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