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

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


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

Reorder the terms:
3(-3 + x) + 2 = 5x + -7
(-3 * 3 + x * 3) + 2 = 5x + -7
(-9 + 3x) + 2 = 5x + -7

Reorder the terms:
-9 + 2 + 3x = 5x + -7

Combine like terms: -9 + 2 = -7
-7 + 3x = 5x + -7

Reorder the terms:
-7 + 3x = -7 + 5x

Add '7' to each side of the equation.
-7 + 7 + 3x = -7 + 7 + 5x

Combine like terms: -7 + 7 = 0
0 + 3x = -7 + 7 + 5x
3x = -7 + 7 + 5x

Combine like terms: -7 + 7 = 0
3x = 0 + 5x
3x = 5x

Solving
3x = 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.
3x + -5x = 5x + -5x

Combine like terms: 3x + -5x = -2x
-2x = 5x + -5x

Combine like terms: 5x + -5x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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