3(x-1)=5(x-2)+7

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Solution for 3(x-1)=5(x-2)+7 equation:


Simplifying
3(x + -1) = 5(x + -2) + 7

Reorder the terms:
3(-1 + x) = 5(x + -2) + 7
(-1 * 3 + x * 3) = 5(x + -2) + 7
(-3 + 3x) = 5(x + -2) + 7

Reorder the terms:
-3 + 3x = 5(-2 + x) + 7
-3 + 3x = (-2 * 5 + x * 5) + 7
-3 + 3x = (-10 + 5x) + 7

Reorder the terms:
-3 + 3x = -10 + 7 + 5x

Combine like terms: -10 + 7 = -3
-3 + 3x = -3 + 5x

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

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

Combine like terms: -3 + 3 = 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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