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

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


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

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

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

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

Reorder the terms:
-2 + 4x = 4 + 2(-5 + 3x)
-2 + 4x = 4 + (-5 * 2 + 3x * 2)
-2 + 4x = 4 + (-10 + 6x)

Combine like terms: 4 + -10 = -6
-2 + 4x = -6 + 6x

Solving
-2 + 4x = -6 + 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.
-2 + 4x + -6x = -6 + 6x + -6x

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

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

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

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

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

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

Simplifying
x = 2

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