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

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


Simplifying
3x + 5 + -1(5 + -7x) = 19 + -5(3 + -1x)
3x + 5 + (5 * -1 + -7x * -1) = 19 + -5(3 + -1x)
3x + 5 + (-5 + 7x) = 19 + -5(3 + -1x)

Reorder the terms:
5 + -5 + 3x + 7x = 19 + -5(3 + -1x)

Combine like terms: 5 + -5 = 0
0 + 3x + 7x = 19 + -5(3 + -1x)
3x + 7x = 19 + -5(3 + -1x)

Combine like terms: 3x + 7x = 10x
10x = 19 + -5(3 + -1x)
10x = 19 + (3 * -5 + -1x * -5)
10x = 19 + (-15 + 5x)

Combine like terms: 19 + -15 = 4
10x = 4 + 5x

Solving
10x = 4 + 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.
10x + -5x = 4 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
5x = 4 + 0
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8

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