13x-15=4(3x+4)-1

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Solution for 13x-15=4(3x+4)-1 equation:


Simplifying
13x + -15 = 4(3x + 4) + -1

Reorder the terms:
-15 + 13x = 4(3x + 4) + -1

Reorder the terms:
-15 + 13x = 4(4 + 3x) + -1
-15 + 13x = (4 * 4 + 3x * 4) + -1
-15 + 13x = (16 + 12x) + -1

Reorder the terms:
-15 + 13x = 16 + -1 + 12x

Combine like terms: 16 + -1 = 15
-15 + 13x = 15 + 12x

Solving
-15 + 13x = 15 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-15 + 13x + -12x = 15 + 12x + -12x

Combine like terms: 13x + -12x = 1x
-15 + 1x = 15 + 12x + -12x

Combine like terms: 12x + -12x = 0
-15 + 1x = 15 + 0
-15 + 1x = 15

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

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

Combine like terms: 15 + 15 = 30
1x = 30

Divide each side by '1'.
x = 30

Simplifying
x = 30

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