10-5(x-2)=3+4x

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Solution for 10-5(x-2)=3+4x equation:


Simplifying
10 + -5(x + -2) = 3 + 4x

Reorder the terms:
10 + -5(-2 + x) = 3 + 4x
10 + (-2 * -5 + x * -5) = 3 + 4x
10 + (10 + -5x) = 3 + 4x

Combine like terms: 10 + 10 = 20
20 + -5x = 3 + 4x

Solving
20 + -5x = 3 + 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.
20 + -5x + -4x = 3 + 4x + -4x

Combine like terms: -5x + -4x = -9x
20 + -9x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
20 + -9x = 3 + 0
20 + -9x = 3

Add '-20' to each side of the equation.
20 + -20 + -9x = 3 + -20

Combine like terms: 20 + -20 = 0
0 + -9x = 3 + -20
-9x = 3 + -20

Combine like terms: 3 + -20 = -17
-9x = -17

Divide each side by '-9'.
x = 1.888888889

Simplifying
x = 1.888888889

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