2(x+1)+3x=x+10-4(2x-1)

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Solution for 2(x+1)+3x=x+10-4(2x-1) equation: 


Simplifying
2(x + 1) + 3x = x + 10 + -4(2x + -1)

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

Combine like terms: 2x + 3x = 5x
2 + 5x = x + 10 + -4(2x + -1)

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

Reorder the terms:
2 + 5x = 10 + 4 + x + -8x

Combine like terms: 10 + 4 = 14
2 + 5x = 14 + x + -8x

Combine like terms: x + -8x = -7x
2 + 5x = 14 + -7x

Solving
2 + 5x = 14 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
2 + 5x + 7x = 14 + -7x + 7x

Combine like terms: 5x + 7x = 12x
2 + 12x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
2 + 12x = 14 + 0
2 + 12x = 14

Add '-2' to each side of the equation.
2 + -2 + 12x = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 12x = 14 + -2
12x = 14 + -2

Combine like terms: 14 + -2 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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