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

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


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

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

Combine like terms: 4 + 5 = 9
9 + -2x = 3 + 4(x + -2)

Reorder the terms:
9 + -2x = 3 + 4(-2 + x)
9 + -2x = 3 + (-2 * 4 + x * 4)
9 + -2x = 3 + (-8 + 4x)

Combine like terms: 3 + -8 = -5
9 + -2x = -5 + 4x

Solving
9 + -2x = -5 + 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.
9 + -2x + -4x = -5 + 4x + -4x

Combine like terms: -2x + -4x = -6x
9 + -6x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -6x = -5 + 0
9 + -6x = -5

Add '-9' to each side of the equation.
9 + -9 + -6x = -5 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = -5 + -9
-6x = -5 + -9

Combine like terms: -5 + -9 = -14
-6x = -14

Divide each side by '-6'.
x = 2.333333333

Simplifying
x = 2.333333333

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