10x+4x+8=5(x+3)+5

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Solution for 10x+4x+8=5(x+3)+5 equation:


Simplifying
10x + 4x + 8 = 5(x + 3) + 5

Reorder the terms:
8 + 10x + 4x = 5(x + 3) + 5

Combine like terms: 10x + 4x = 14x
8 + 14x = 5(x + 3) + 5

Reorder the terms:
8 + 14x = 5(3 + x) + 5
8 + 14x = (3 * 5 + x * 5) + 5
8 + 14x = (15 + 5x) + 5

Reorder the terms:
8 + 14x = 15 + 5 + 5x

Combine like terms: 15 + 5 = 20
8 + 14x = 20 + 5x

Solving
8 + 14x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 14x + -5x = 20 + 5x + -5x

Combine like terms: 14x + -5x = 9x
8 + 9x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + 9x = 20 + 0
8 + 9x = 20

Add '-8' to each side of the equation.
8 + -8 + 9x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 9x = 20 + -8
9x = 20 + -8

Combine like terms: 20 + -8 = 12
9x = 12

Divide each side by '9'.
x = 1.333333333

Simplifying
x = 1.333333333

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