x+4=2(2x-3)

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


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

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

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

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

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

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

Add '-4' to each side of the equation.
4 + -4 + -3x = -6 + -4

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

Combine like terms: -6 + -4 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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