4x-7-2x=3(2-x)-1

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Solution for 4x-7-2x=3(2-x)-1 equation:


Simplifying
4x + -7 + -2x = 3(2 + -1x) + -1

Reorder the terms:
-7 + 4x + -2x = 3(2 + -1x) + -1

Combine like terms: 4x + -2x = 2x
-7 + 2x = 3(2 + -1x) + -1
-7 + 2x = (2 * 3 + -1x * 3) + -1
-7 + 2x = (6 + -3x) + -1

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

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

Solving
-7 + 2x = 5 + -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.
-7 + 2x + 3x = 5 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-7 + 5x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
-7 + 5x = 5 + 0
-7 + 5x = 5

Add '7' to each side of the equation.
-7 + 7 + 5x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 5 + 7
5x = 5 + 7

Combine like terms: 5 + 7 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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