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

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


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

Reorder the terms:
2 + 4(2 + x) = 3x + -2(x + -5)
2 + (2 * 4 + x * 4) = 3x + -2(x + -5)
2 + (8 + 4x) = 3x + -2(x + -5)

Combine like terms: 2 + 8 = 10
10 + 4x = 3x + -2(x + -5)

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

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

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

Add '-10' to each side of the equation.
10 + -10 + 4x = 10 + -10 + 1x

Combine like terms: 10 + -10 = 0
0 + 4x = 10 + -10 + 1x
4x = 10 + -10 + 1x

Combine like terms: 10 + -10 = 0
4x = 0 + 1x
4x = 1x

Solving
4x = 1x

Solving for variable 'x'.

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

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

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

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

Divide each side by '3'.
x = 0

Simplifying
x = 0

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