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

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


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

Reorder the terms:
2(-1 + x) = -7(3 + -1x)
(-1 * 2 + x * 2) = -7(3 + -1x)
(-2 + 2x) = -7(3 + -1x)
-2 + 2x = (3 * -7 + -1x * -7)
-2 + 2x = (-21 + 7x)

Solving
-2 + 2x = -21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-2 + 2x + -7x = -21 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-2 + -5x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -5x = -21 + 0
-2 + -5x = -21

Add '2' to each side of the equation.
-2 + 2 + -5x = -21 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = -21 + 2
-5x = -21 + 2

Combine like terms: -21 + 2 = -19
-5x = -19

Divide each side by '-5'.
x = 3.8

Simplifying
x = 3.8

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