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

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


Simplifying
5x + 6 + -2x + 4 = 3x + 5 + -2x + -3

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

Combine like terms: 6 + 4 = 10
10 + 5x + -2x = 3x + 5 + -2x + -3

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

Reorder the terms:
10 + 3x = 5 + -3 + 3x + -2x

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

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

Solving
10 + 3x = 2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + 3x + -1x = 2 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
10 + 2x = 2 + 0
10 + 2x = 2

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

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

Combine like terms: 2 + -10 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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