3x-9=4(4x+1)

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Solution for 3x-9=4(4x+1) equation:


Simplifying
3x + -9 = 4(4x + 1)

Reorder the terms:
-9 + 3x = 4(4x + 1)

Reorder the terms:
-9 + 3x = 4(1 + 4x)
-9 + 3x = (1 * 4 + 4x * 4)
-9 + 3x = (4 + 16x)

Solving
-9 + 3x = 4 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-9 + 3x + -16x = 4 + 16x + -16x

Combine like terms: 3x + -16x = -13x
-9 + -13x = 4 + 16x + -16x

Combine like terms: 16x + -16x = 0
-9 + -13x = 4 + 0
-9 + -13x = 4

Add '9' to each side of the equation.
-9 + 9 + -13x = 4 + 9

Combine like terms: -9 + 9 = 0
0 + -13x = 4 + 9
-13x = 4 + 9

Combine like terms: 4 + 9 = 13
-13x = 13

Divide each side by '-13'.
x = -1

Simplifying
x = -1

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