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

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


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

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

Combine like terms: 4 + 5 = 9
9 + -3x = 6 + 2(x + -3)

Reorder the terms:
9 + -3x = 6 + 2(-3 + x)
9 + -3x = 6 + (-3 * 2 + x * 2)
9 + -3x = 6 + (-6 + 2x)

Combine like terms: 6 + -6 = 0
9 + -3x = 0 + 2x
9 + -3x = 2x

Solving
9 + -3x = 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.
9 + -3x + -2x = 2x + -2x

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

Combine like terms: 2x + -2x = 0
9 + -5x = 0

Add '-9' to each side of the equation.
9 + -9 + -5x = 0 + -9

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

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

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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