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

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


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

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

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

Combine like terms: 5x + 3x = 8x
4 + 2x = -2 + 8x

Solving
4 + 2x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4 + 2x + -8x = -2 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
4 + -6x = -2 + 0
4 + -6x = -2

Add '-4' to each side of the equation.
4 + -4 + -6x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = -2 + -4
-6x = -2 + -4

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

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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