105+8x-4=14(5+2x)-9

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Solution for 105+8x-4=14(5+2x)-9 equation:


Simplifying
105 + 8x + -4 = 14(5 + 2x) + -9

Reorder the terms:
105 + -4 + 8x = 14(5 + 2x) + -9

Combine like terms: 105 + -4 = 101
101 + 8x = 14(5 + 2x) + -9
101 + 8x = (5 * 14 + 2x * 14) + -9
101 + 8x = (70 + 28x) + -9

Reorder the terms:
101 + 8x = 70 + -9 + 28x

Combine like terms: 70 + -9 = 61
101 + 8x = 61 + 28x

Solving
101 + 8x = 61 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
101 + 8x + -28x = 61 + 28x + -28x

Combine like terms: 8x + -28x = -20x
101 + -20x = 61 + 28x + -28x

Combine like terms: 28x + -28x = 0
101 + -20x = 61 + 0
101 + -20x = 61

Add '-101' to each side of the equation.
101 + -101 + -20x = 61 + -101

Combine like terms: 101 + -101 = 0
0 + -20x = 61 + -101
-20x = 61 + -101

Combine like terms: 61 + -101 = -40
-20x = -40

Divide each side by '-20'.
x = 2

Simplifying
x = 2

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