13x+20=16(x+4)+3

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Solution for 13x+20=16(x+4)+3 equation:


Simplifying
13x + 20 = 16(x + 4) + 3

Reorder the terms:
20 + 13x = 16(x + 4) + 3

Reorder the terms:
20 + 13x = 16(4 + x) + 3
20 + 13x = (4 * 16 + x * 16) + 3
20 + 13x = (64 + 16x) + 3

Reorder the terms:
20 + 13x = 64 + 3 + 16x

Combine like terms: 64 + 3 = 67
20 + 13x = 67 + 16x

Solving
20 + 13x = 67 + 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.
20 + 13x + -16x = 67 + 16x + -16x

Combine like terms: 13x + -16x = -3x
20 + -3x = 67 + 16x + -16x

Combine like terms: 16x + -16x = 0
20 + -3x = 67 + 0
20 + -3x = 67

Add '-20' to each side of the equation.
20 + -20 + -3x = 67 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = 67 + -20
-3x = 67 + -20

Combine like terms: 67 + -20 = 47
-3x = 47

Divide each side by '-3'.
x = -15.66666667

Simplifying
x = -15.66666667

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