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

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Solution for 6-(2x+3)=5-3(2x-1) equation:


Simplifying
6 + -1(2x + 3) = 5 + -3(2x + -1)

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

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

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

Combine like terms: 5 + 3 = 8
3 + -2x = 8 + -6x

Solving
3 + -2x = 8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
3 + -2x + 6x = 8 + -6x + 6x

Combine like terms: -2x + 6x = 4x
3 + 4x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
3 + 4x = 8 + 0
3 + 4x = 8

Add '-3' to each side of the equation.
3 + -3 + 4x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 8 + -3
4x = 8 + -3

Combine like terms: 8 + -3 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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