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

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


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

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

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

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

Combine like terms: -8 + -6 = -14
-14 + 4x + 2x = 1

Combine like terms: 4x + 2x = 6x
-14 + 6x = 1

Solving
-14 + 6x = 1

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 6x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = 1 + 14
6x = 1 + 14

Combine like terms: 1 + 14 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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