2(x+1)+3x=5x-10+3x

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Solution for 2(x+1)+3x=5x-10+3x equation:


Simplifying
2(x + 1) + 3x = 5x + -10 + 3x

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

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

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

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

Solving
2 + 5x = -10 + 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.
2 + 5x + -8x = -10 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
2 + -3x = -10 + 0
2 + -3x = -10

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

Combine like terms: 2 + -2 = 0
0 + -3x = -10 + -2
-3x = -10 + -2

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

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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