10+19x=13+(8x+7)10

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Solution for 10+19x=13+(8x+7)10 equation:


Simplifying
10 + 19x = 13 + (8x + 7) * 10

Reorder the terms:
10 + 19x = 13 + (7 + 8x) * 10

Reorder the terms for easier multiplication:
10 + 19x = 13 + 10(7 + 8x)
10 + 19x = 13 + (7 * 10 + 8x * 10)
10 + 19x = 13 + (70 + 80x)

Combine like terms: 13 + 70 = 83
10 + 19x = 83 + 80x

Solving
10 + 19x = 83 + 80x

Solving for variable 'x'.

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

Add '-80x' to each side of the equation.
10 + 19x + -80x = 83 + 80x + -80x

Combine like terms: 19x + -80x = -61x
10 + -61x = 83 + 80x + -80x

Combine like terms: 80x + -80x = 0
10 + -61x = 83 + 0
10 + -61x = 83

Add '-10' to each side of the equation.
10 + -10 + -61x = 83 + -10

Combine like terms: 10 + -10 = 0
0 + -61x = 83 + -10
-61x = 83 + -10

Combine like terms: 83 + -10 = 73
-61x = 73

Divide each side by '-61'.
x = -1.196721311

Simplifying
x = -1.196721311

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