14(x-2)+13=4x+5

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Solution for 14(x-2)+13=4x+5 equation:


Simplifying
14(x + -2) + 13 = 4x + 5

Reorder the terms:
14(-2 + x) + 13 = 4x + 5
(-2 * 14 + x * 14) + 13 = 4x + 5
(-28 + 14x) + 13 = 4x + 5

Reorder the terms:
-28 + 13 + 14x = 4x + 5

Combine like terms: -28 + 13 = -15
-15 + 14x = 4x + 5

Reorder the terms:
-15 + 14x = 5 + 4x

Solving
-15 + 14x = 5 + 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 + 14x + -4x = 5 + 4x + -4x

Combine like terms: 14x + -4x = 10x
-15 + 10x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 10x = 5 + 0
-15 + 10x = 5

Add '15' to each side of the equation.
-15 + 15 + 10x = 5 + 15

Combine like terms: -15 + 15 = 0
0 + 10x = 5 + 15
10x = 5 + 15

Combine like terms: 5 + 15 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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