4x+5+4x+5+2x+2x=2x-5+5x+8+x+19

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Solution for 4x+5+4x+5+2x+2x=2x-5+5x+8+x+19 equation:


Simplifying
4x + 5 + 4x + 5 + 2x + 2x = 2x + -5 + 5x + 8 + x + 19

Reorder the terms:
5 + 5 + 4x + 4x + 2x + 2x = 2x + -5 + 5x + 8 + x + 19

Combine like terms: 5 + 5 = 10
10 + 4x + 4x + 2x + 2x = 2x + -5 + 5x + 8 + x + 19

Combine like terms: 4x + 4x = 8x
10 + 8x + 2x + 2x = 2x + -5 + 5x + 8 + x + 19

Combine like terms: 8x + 2x = 10x
10 + 10x + 2x = 2x + -5 + 5x + 8 + x + 19

Combine like terms: 10x + 2x = 12x
10 + 12x = 2x + -5 + 5x + 8 + x + 19

Reorder the terms:
10 + 12x = -5 + 8 + 19 + 2x + 5x + x

Combine like terms: -5 + 8 = 3
10 + 12x = 3 + 19 + 2x + 5x + x

Combine like terms: 3 + 19 = 22
10 + 12x = 22 + 2x + 5x + x

Combine like terms: 2x + 5x = 7x
10 + 12x = 22 + 7x + x

Combine like terms: 7x + x = 8x
10 + 12x = 22 + 8x

Solving
10 + 12x = 22 + 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.
10 + 12x + -8x = 22 + 8x + -8x

Combine like terms: 12x + -8x = 4x
10 + 4x = 22 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + 4x = 22 + 0
10 + 4x = 22

Add '-10' to each side of the equation.
10 + -10 + 4x = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 22 + -10
4x = 22 + -10

Combine like terms: 22 + -10 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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