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

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


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

Reorder the terms:
5 + -2(-3 + x) = 4(x + 1)
5 + (-3 * -2 + x * -2) = 4(x + 1)
5 + (6 + -2x) = 4(x + 1)

Combine like terms: 5 + 6 = 11
11 + -2x = 4(x + 1)

Reorder the terms:
11 + -2x = 4(1 + x)
11 + -2x = (1 * 4 + x * 4)
11 + -2x = (4 + 4x)

Solving
11 + -2x = 4 + 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.
11 + -2x + -4x = 4 + 4x + -4x

Combine like terms: -2x + -4x = -6x
11 + -6x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -6x = 4 + 0
11 + -6x = 4

Add '-11' to each side of the equation.
11 + -11 + -6x = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = 4 + -11
-6x = 4 + -11

Combine like terms: 4 + -11 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667

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