3(x-1)+7=5x

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


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

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

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

Combine like terms: -3 + 7 = 4
4 + 3x = 5x

Solving
4 + 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.
4 + 3x + -5x = 5x + -5x

Combine like terms: 3x + -5x = -2x
4 + -2x = 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -2x = 0

Add '-4' to each side of the equation.
4 + -4 + -2x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 0 + -4
-2x = 0 + -4

Combine like terms: 0 + -4 = -4
-2x = -4

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

Simplifying
x = 2

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