21+5(5x+3)=19x-2(7x-3)

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Solution for 21+5(5x+3)=19x-2(7x-3) equation:


Simplifying
21 + 5(5x + 3) = 19x + -2(7x + -3)

Reorder the terms:
21 + 5(3 + 5x) = 19x + -2(7x + -3)
21 + (3 * 5 + 5x * 5) = 19x + -2(7x + -3)
21 + (15 + 25x) = 19x + -2(7x + -3)

Combine like terms: 21 + 15 = 36
36 + 25x = 19x + -2(7x + -3)

Reorder the terms:
36 + 25x = 19x + -2(-3 + 7x)
36 + 25x = 19x + (-3 * -2 + 7x * -2)
36 + 25x = 19x + (6 + -14x)

Reorder the terms:
36 + 25x = 6 + 19x + -14x

Combine like terms: 19x + -14x = 5x
36 + 25x = 6 + 5x

Solving
36 + 25x = 6 + 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.
36 + 25x + -5x = 6 + 5x + -5x

Combine like terms: 25x + -5x = 20x
36 + 20x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
36 + 20x = 6 + 0
36 + 20x = 6

Add '-36' to each side of the equation.
36 + -36 + 20x = 6 + -36

Combine like terms: 36 + -36 = 0
0 + 20x = 6 + -36
20x = 6 + -36

Combine like terms: 6 + -36 = -30
20x = -30

Divide each side by '20'.
x = -1.5

Simplifying
x = -1.5

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