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

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


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

Reorder the terms:
4(-3 + x) + 2 = 5 + -2(x + 1)
(-3 * 4 + x * 4) + 2 = 5 + -2(x + 1)
(-12 + 4x) + 2 = 5 + -2(x + 1)

Reorder the terms:
-12 + 2 + 4x = 5 + -2(x + 1)

Combine like terms: -12 + 2 = -10
-10 + 4x = 5 + -2(x + 1)

Reorder the terms:
-10 + 4x = 5 + -2(1 + x)
-10 + 4x = 5 + (1 * -2 + x * -2)
-10 + 4x = 5 + (-2 + -2x)

Combine like terms: 5 + -2 = 3
-10 + 4x = 3 + -2x

Solving
-10 + 4x = 3 + -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.
-10 + 4x + 2x = 3 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-10 + 6x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + 6x = 3 + 0
-10 + 6x = 3

Add '10' to each side of the equation.
-10 + 10 + 6x = 3 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 3 + 10
6x = 3 + 10

Combine like terms: 3 + 10 = 13
6x = 13

Divide each side by '6'.
x = 2.166666667

Simplifying
x = 2.166666667

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