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

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


Simplifying
4x + -2(1 + 3x) = 5 + -3(x + 2)
4x + (1 * -2 + 3x * -2) = 5 + -3(x + 2)
4x + (-2 + -6x) = 5 + -3(x + 2)

Reorder the terms:
-2 + 4x + -6x = 5 + -3(x + 2)

Combine like terms: 4x + -6x = -2x
-2 + -2x = 5 + -3(x + 2)

Reorder the terms:
-2 + -2x = 5 + -3(2 + x)
-2 + -2x = 5 + (2 * -3 + x * -3)
-2 + -2x = 5 + (-6 + -3x)

Combine like terms: 5 + -6 = -1
-2 + -2x = -1 + -3x

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

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

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

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

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

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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