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

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


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

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

Remove parenthesis around (-1x)
7 + -3 * -1x = 6 + -2(1 + -2x)

Multiply -3 * -1
7 + 3x = 6 + -2(1 + -2x)
7 + 3x = 6 + (1 * -2 + -2x * -2)
7 + 3x = 6 + (-2 + 4x)

Combine like terms: 6 + -2 = 4
7 + 3x = 4 + 4x

Solving
7 + 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.
7 + 3x + -4x = 4 + 4x + -4x

Combine like terms: 3x + -4x = -1x
7 + -1x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + -1x = 4 + 0
7 + -1x = 4

Add '-7' to each side of the equation.
7 + -7 + -1x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 4 + -7
-1x = 4 + -7

Combine like terms: 4 + -7 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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