6-(3x+4)=1-2x

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Solution for 6-(3x+4)=1-2x equation:


Simplifying
6 + -1(3x + 4) = 1 + -2x

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

Combine like terms: 6 + -4 = 2
2 + -3x = 1 + -2x

Solving
2 + -3x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2 + -3x + 2x = 1 + -2x + 2x

Combine like terms: -3x + 2x = -1x
2 + -1x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + -1x = 1 + 0
2 + -1x = 1

Add '-2' to each side of the equation.
2 + -2 + -1x = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 1 + -2
-1x = 1 + -2

Combine like terms: 1 + -2 = -1
-1x = -1

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

Simplifying
x = 1

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