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

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


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

Reorder the terms:
4(1 + 2x) + -3(2x + -5) = 1
(1 * 4 + 2x * 4) + -3(2x + -5) = 1
(4 + 8x) + -3(2x + -5) = 1

Reorder the terms:
4 + 8x + -3(-5 + 2x) = 1
4 + 8x + (-5 * -3 + 2x * -3) = 1
4 + 8x + (15 + -6x) = 1

Reorder the terms:
4 + 15 + 8x + -6x = 1

Combine like terms: 4 + 15 = 19
19 + 8x + -6x = 1

Combine like terms: 8x + -6x = 2x
19 + 2x = 1

Solving
19 + 2x = 1

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 2x = 1 + -19

Combine like terms: 19 + -19 = 0
0 + 2x = 1 + -19
2x = 1 + -19

Combine like terms: 1 + -19 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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