2(x+5)+3(x-1)+1=2(x+8)+4

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Solution for 2(x+5)+3(x-1)+1=2(x+8)+4 equation:


Simplifying
2(x + 5) + 3(x + -1) + 1 = 2(x + 8) + 4

Reorder the terms:
2(5 + x) + 3(x + -1) + 1 = 2(x + 8) + 4
(5 * 2 + x * 2) + 3(x + -1) + 1 = 2(x + 8) + 4
(10 + 2x) + 3(x + -1) + 1 = 2(x + 8) + 4

Reorder the terms:
10 + 2x + 3(-1 + x) + 1 = 2(x + 8) + 4
10 + 2x + (-1 * 3 + x * 3) + 1 = 2(x + 8) + 4
10 + 2x + (-3 + 3x) + 1 = 2(x + 8) + 4

Reorder the terms:
10 + -3 + 1 + 2x + 3x = 2(x + 8) + 4

Combine like terms: 10 + -3 = 7
7 + 1 + 2x + 3x = 2(x + 8) + 4

Combine like terms: 7 + 1 = 8
8 + 2x + 3x = 2(x + 8) + 4

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

Reorder the terms:
8 + 5x = 2(8 + x) + 4
8 + 5x = (8 * 2 + x * 2) + 4
8 + 5x = (16 + 2x) + 4

Reorder the terms:
8 + 5x = 16 + 4 + 2x

Combine like terms: 16 + 4 = 20
8 + 5x = 20 + 2x

Solving
8 + 5x = 20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 5x + -2x = 20 + 2x + -2x

Combine like terms: 5x + -2x = 3x
8 + 3x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 3x = 20 + 0
8 + 3x = 20

Add '-8' to each side of the equation.
8 + -8 + 3x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 20 + -8
3x = 20 + -8

Combine like terms: 20 + -8 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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