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

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


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

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

Combine like terms: 2 + -5 = -3
-3 + -4x = 1 + -3(4 + -1x)
-3 + -4x = 1 + (4 * -3 + -1x * -3)
-3 + -4x = 1 + (-12 + 3x)

Combine like terms: 1 + -12 = -11
-3 + -4x = -11 + 3x

Solving
-3 + -4x = -11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3 + -4x + -3x = -11 + 3x + -3x

Combine like terms: -4x + -3x = -7x
-3 + -7x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -7x = -11 + 0
-3 + -7x = -11

Add '3' to each side of the equation.
-3 + 3 + -7x = -11 + 3

Combine like terms: -3 + 3 = 0
0 + -7x = -11 + 3
-7x = -11 + 3

Combine like terms: -11 + 3 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143

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