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

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


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

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

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

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

Reorder the terms:
4 + 2x = -3 + -10 + 3x + -5x

Combine like terms: -3 + -10 = -13
4 + 2x = -13 + 3x + -5x

Combine like terms: 3x + -5x = -2x
4 + 2x = -13 + -2x

Solving
4 + 2x = -13 + -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.
4 + 2x + 2x = -13 + -2x + 2x

Combine like terms: 2x + 2x = 4x
4 + 4x = -13 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 4x = -13 + 0
4 + 4x = -13

Add '-4' to each side of the equation.
4 + -4 + 4x = -13 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = -13 + -4
4x = -13 + -4

Combine like terms: -13 + -4 = -17
4x = -17

Divide each side by '4'.
x = -4.25

Simplifying
x = -4.25

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