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

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


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

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

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

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

Remove parenthesis around (2x)
2 + 4x = 4 + 4x + -1 * 2x

Multiply -1 * 2
2 + 4x = 4 + 4x + -2x

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

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

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

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

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

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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