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

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


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

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

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

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

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

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

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

Solving
4 + 2x = 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 + 2x + -3x = 1 + 3x + -3x

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

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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