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

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


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

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

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

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

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

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

Solving
-3 + 2x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-3 + 2x + -4x = 3 + 4x + -4x

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

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

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

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

Combine like terms: 3 + 3 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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