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

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


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

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

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

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

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

Combine like terms: x + 2x = 3x
4 + 5x = 1 + 3x

Solving
4 + 5x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 5x + -3x = 1 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
4 + 2x = 1 + 0
4 + 2x = 1

Add '-4' to each side of the equation.
4 + -4 + 2x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 1 + -4
2x = 1 + -4

Combine like terms: 1 + -4 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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