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

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


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

Reorder the terms:
-4(-3 + x) + 5 = 3(x + 2) + -1
(-3 * -4 + x * -4) + 5 = 3(x + 2) + -1
(12 + -4x) + 5 = 3(x + 2) + -1

Reorder the terms:
12 + 5 + -4x = 3(x + 2) + -1

Combine like terms: 12 + 5 = 17
17 + -4x = 3(x + 2) + -1

Reorder the terms:
17 + -4x = 3(2 + x) + -1
17 + -4x = (2 * 3 + x * 3) + -1
17 + -4x = (6 + 3x) + -1

Reorder the terms:
17 + -4x = 6 + -1 + 3x

Combine like terms: 6 + -1 = 5
17 + -4x = 5 + 3x

Solving
17 + -4x = 5 + 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.
17 + -4x + -3x = 5 + 3x + -3x

Combine like terms: -4x + -3x = -7x
17 + -7x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -7x = 5 + 0
17 + -7x = 5

Add '-17' to each side of the equation.
17 + -17 + -7x = 5 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = 5 + -17
-7x = 5 + -17

Combine like terms: 5 + -17 = -12
-7x = -12

Divide each side by '-7'.
x = 1.714285714

Simplifying
x = 1.714285714

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