x+1=2(2x-3)

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


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

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

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

Solving
1 + x = -6 + 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.
1 + x + -4x = -6 + 4x + -4x

Combine like terms: x + -4x = -3x
1 + -3x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -3x = -6 + 0
1 + -3x = -6

Add '-1' to each side of the equation.
1 + -1 + -3x = -6 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -6 + -1
-3x = -6 + -1

Combine like terms: -6 + -1 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

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