10-5x=14+(4-x)

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Solution for 10-5x=14+(4-x) equation:


Simplifying
10 + -5x = 14 + (4 + -1x)

Remove parenthesis around (4 + -1x)
10 + -5x = 14 + 4 + -1x

Combine like terms: 14 + 4 = 18
10 + -5x = 18 + -1x

Solving
10 + -5x = 18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + -5x + x = 18 + -1x + x

Combine like terms: -5x + x = -4x
10 + -4x = 18 + -1x + x

Combine like terms: -1x + x = 0
10 + -4x = 18 + 0
10 + -4x = 18

Add '-10' to each side of the equation.
10 + -10 + -4x = 18 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 18 + -10
-4x = 18 + -10

Combine like terms: 18 + -10 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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