5-2(x-7)=4(x+5)+1

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Solution for 5-2(x-7)=4(x+5)+1 equation: 


Simplifying
5 + -2(x + -7) = 4(x + 5) + 1

Reorder the terms:
5 + -2(-7 + x) = 4(x + 5) + 1
5 + (-7 * -2 + x * -2) = 4(x + 5) + 1
5 + (14 + -2x) = 4(x + 5) + 1

Combine like terms: 5 + 14 = 19
19 + -2x = 4(x + 5) + 1

Reorder the terms:
19 + -2x = 4(5 + x) + 1
19 + -2x = (5 * 4 + x * 4) + 1
19 + -2x = (20 + 4x) + 1

Reorder the terms:
19 + -2x = 20 + 1 + 4x

Combine like terms: 20 + 1 = 21
19 + -2x = 21 + 4x

Solving
19 + -2x = 21 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
19 + -2x + -4x = 21 + 4x + -4x

Combine like terms: -2x + -4x = -6x
19 + -6x = 21 + 4x + -4x

Combine like terms: 4x + -4x = 0
19 + -6x = 21 + 0
19 + -6x = 21

Add '-19' to each side of the equation.
19 + -19 + -6x = 21 + -19

Combine like terms: 19 + -19 = 0
0 + -6x = 21 + -19
-6x = 21 + -19

Combine like terms: 21 + -19 = 2
-6x = 2

Divide each side by '-6'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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