10(x+3)-14x=5(x+10)

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Solution for 10(x+3)-14x=5(x+10) equation:


Simplifying
10(x + 3) + -14x = 5(x + 10)

Reorder the terms:
10(3 + x) + -14x = 5(x + 10)
(3 * 10 + x * 10) + -14x = 5(x + 10)
(30 + 10x) + -14x = 5(x + 10)

Combine like terms: 10x + -14x = -4x
30 + -4x = 5(x + 10)

Reorder the terms:
30 + -4x = 5(10 + x)
30 + -4x = (10 * 5 + x * 5)
30 + -4x = (50 + 5x)

Solving
30 + -4x = 50 + 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.
30 + -4x + -5x = 50 + 5x + -5x

Combine like terms: -4x + -5x = -9x
30 + -9x = 50 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + -9x = 50 + 0
30 + -9x = 50

Add '-30' to each side of the equation.
30 + -30 + -9x = 50 + -30

Combine like terms: 30 + -30 = 0
0 + -9x = 50 + -30
-9x = 50 + -30

Combine like terms: 50 + -30 = 20
-9x = 20

Divide each side by '-9'.
x = -2.222222222

Simplifying
x = -2.222222222

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