3x-(7-2)=6-2(1-2x)

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Solution for 3x-(7-2)=6-2(1-2x) equation:


Simplifying
3x + -1(7 + -2) = 6 + -2(1 + -2x)

Combine like terms: 7 + -2 = 5
3x + -1(5) = 6 + -2(1 + -2x)

Multiply -1 * 5
3x + -5 = 6 + -2(1 + -2x)

Reorder the terms:
-5 + 3x = 6 + -2(1 + -2x)
-5 + 3x = 6 + (1 * -2 + -2x * -2)
-5 + 3x = 6 + (-2 + 4x)

Combine like terms: 6 + -2 = 4
-5 + 3x = 4 + 4x

Solving
-5 + 3x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + 3x + -4x = 4 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-5 + -1x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -1x = 4 + 0
-5 + -1x = 4

Add '5' to each side of the equation.
-5 + 5 + -1x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 4 + 5
-1x = 4 + 5

Combine like terms: 4 + 5 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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