2x-(4x-3x)=12+3(x-5)

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Solution for 2x-(4x-3x)=12+3(x-5) equation:


Simplifying
2x + -1(4x + -3x) = 12 + 3(x + -5)

Combine like terms: 4x + -3x = 1x
2x + -1(1x) = 12 + 3(x + -5)

Remove parenthesis around (1x)
2x + -1 * 1x = 12 + 3(x + -5)

Multiply -1 * 1
2x + -1x = 12 + 3(x + -5)

Combine like terms: 2x + -1x = 1x
1x = 12 + 3(x + -5)

Reorder the terms:
1x = 12 + 3(-5 + x)
1x = 12 + (-5 * 3 + x * 3)
1x = 12 + (-15 + 3x)

Combine like terms: 12 + -15 = -3
1x = -3 + 3x

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

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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