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

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


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

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

Reorder the terms:
2 + -8x + -3(3 + 2x) = 5
2 + -8x + (3 * -3 + 2x * -3) = 5
2 + -8x + (-9 + -6x) = 5

Reorder the terms:
2 + -9 + -8x + -6x = 5

Combine like terms: 2 + -9 = -7
-7 + -8x + -6x = 5

Combine like terms: -8x + -6x = -14x
-7 + -14x = 5

Solving
-7 + -14x = 5

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + -14x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + -14x = 5 + 7
-14x = 5 + 7

Combine like terms: 5 + 7 = 12
-14x = 12

Divide each side by '-14'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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