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

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


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

Reorder the terms:
-5 + 3x = -3(5x + -7) + 2

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

Reorder the terms:
-5 + 3x = 21 + 2 + -15x

Combine like terms: 21 + 2 = 23
-5 + 3x = 23 + -15x

Solving
-5 + 3x = 23 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-5 + 3x + 15x = 23 + -15x + 15x

Combine like terms: 3x + 15x = 18x
-5 + 18x = 23 + -15x + 15x

Combine like terms: -15x + 15x = 0
-5 + 18x = 23 + 0
-5 + 18x = 23

Add '5' to each side of the equation.
-5 + 5 + 18x = 23 + 5

Combine like terms: -5 + 5 = 0
0 + 18x = 23 + 5
18x = 23 + 5

Combine like terms: 23 + 5 = 28
18x = 28

Divide each side by '18'.
x = 1.555555556

Simplifying
x = 1.555555556

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