16x+(10-21x)=35x-(10x+5)

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Solution for 16x+(10-21x)=35x-(10x+5) equation:


Simplifying
16x + (10 + -21x) = 35x + -1(10x + 5)

Remove parenthesis around (10 + -21x)
16x + 10 + -21x = 35x + -1(10x + 5)

Reorder the terms:
10 + 16x + -21x = 35x + -1(10x + 5)

Combine like terms: 16x + -21x = -5x
10 + -5x = 35x + -1(10x + 5)

Reorder the terms:
10 + -5x = 35x + -1(5 + 10x)
10 + -5x = 35x + (5 * -1 + 10x * -1)
10 + -5x = 35x + (-5 + -10x)

Reorder the terms:
10 + -5x = -5 + 35x + -10x

Combine like terms: 35x + -10x = 25x
10 + -5x = -5 + 25x

Solving
10 + -5x = -5 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
10 + -5x + -25x = -5 + 25x + -25x

Combine like terms: -5x + -25x = -30x
10 + -30x = -5 + 25x + -25x

Combine like terms: 25x + -25x = 0
10 + -30x = -5 + 0
10 + -30x = -5

Add '-10' to each side of the equation.
10 + -10 + -30x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -30x = -5 + -10
-30x = -5 + -10

Combine like terms: -5 + -10 = -15
-30x = -15

Divide each side by '-30'.
x = 0.5

Simplifying
x = 0.5

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