4(x-2)+3=2-6(x-1)

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Solution for 4(x-2)+3=2-6(x-1) equation:


Simplifying
4(x + -2) + 3 = 2 + -6(x + -1)

Reorder the terms:
4(-2 + x) + 3 = 2 + -6(x + -1)
(-2 * 4 + x * 4) + 3 = 2 + -6(x + -1)
(-8 + 4x) + 3 = 2 + -6(x + -1)

Reorder the terms:
-8 + 3 + 4x = 2 + -6(x + -1)

Combine like terms: -8 + 3 = -5
-5 + 4x = 2 + -6(x + -1)

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

Combine like terms: 2 + 6 = 8
-5 + 4x = 8 + -6x

Solving
-5 + 4x = 8 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
-5 + 4x + 6x = 8 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-5 + 10x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + 10x = 8 + 0
-5 + 10x = 8

Add '5' to each side of the equation.
-5 + 5 + 10x = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = 8 + 5
10x = 8 + 5

Combine like terms: 8 + 5 = 13
10x = 13

Divide each side by '10'.
x = 1.3

Simplifying
x = 1.3

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