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

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


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

Reorder the terms:
2(-3 + x) + -7x = -1(7x + -2)
(-3 * 2 + x * 2) + -7x = -1(7x + -2)
(-6 + 2x) + -7x = -1(7x + -2)

Combine like terms: 2x + -7x = -5x
-6 + -5x = -1(7x + -2)

Reorder the terms:
-6 + -5x = -1(-2 + 7x)
-6 + -5x = (-2 * -1 + 7x * -1)
-6 + -5x = (2 + -7x)

Solving
-6 + -5x = 2 + -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.
-6 + -5x + 7x = 2 + -7x + 7x

Combine like terms: -5x + 7x = 2x
-6 + 2x = 2 + -7x + 7x

Combine like terms: -7x + 7x = 0
-6 + 2x = 2 + 0
-6 + 2x = 2

Add '6' to each side of the equation.
-6 + 6 + 2x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 2 + 6
2x = 2 + 6

Combine like terms: 2 + 6 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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