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

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


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

Reorder the terms:
4 + -2 + 4x + 3(-5 + x) = 1
4 + -2 + 4x + (-5 * 3 + x * 3) = 1
4 + -2 + 4x + (-15 + 3x) = 1

Reorder the terms:
4 + -2 + -15 + 4x + 3x = 1

Combine like terms: 4 + -2 = 2
2 + -15 + 4x + 3x = 1

Combine like terms: 2 + -15 = -13
-13 + 4x + 3x = 1

Combine like terms: 4x + 3x = 7x
-13 + 7x = 1

Solving
-13 + 7x = 1

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 7x = 1 + 13

Combine like terms: -13 + 13 = 0
0 + 7x = 1 + 13
7x = 1 + 13

Combine like terms: 1 + 13 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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