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

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


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

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

Combine like terms: 2 + 7 = 9
9 + -2x = 1 + 3x

Solving
9 + -2x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + -2x + -3x = 1 + 3x + -3x

Combine like terms: -2x + -3x = -5x
9 + -5x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -5x = 1 + 0
9 + -5x = 1

Add '-9' to each side of the equation.
9 + -9 + -5x = 1 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 1 + -9
-5x = 1 + -9

Combine like terms: 1 + -9 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

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