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

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


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

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

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

Combine like terms: 3 + 7 = 10
2x = 10 + -3x

Solving
2x = 10 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2x + 3x = 10 + -3x + 3x

Combine like terms: 2x + 3x = 5x
5x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
5x = 10 + 0
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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