2x+5-3x=4-(3x-6)

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Solution for 2x+5-3x=4-(3x-6) equation:


Simplifying
2x + 5 + -3x = 4 + -1(3x + -6)

Reorder the terms:
5 + 2x + -3x = 4 + -1(3x + -6)

Combine like terms: 2x + -3x = -1x
5 + -1x = 4 + -1(3x + -6)

Reorder the terms:
5 + -1x = 4 + -1(-6 + 3x)
5 + -1x = 4 + (-6 * -1 + 3x * -1)
5 + -1x = 4 + (6 + -3x)

Combine like terms: 4 + 6 = 10
5 + -1x = 10 + -3x

Solving
5 + -1x = 10 + -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.
5 + -1x + 3x = 10 + -3x + 3x

Combine like terms: -1x + 3x = 2x
5 + 2x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 2x = 10 + 0
5 + 2x = 10

Add '-5' to each side of the equation.
5 + -5 + 2x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 10 + -5
2x = 10 + -5

Combine like terms: 10 + -5 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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