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

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


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

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

Reorder the terms:
-6 + 2x + -5(2 + x) + -1 + -4x = -3
-6 + 2x + (2 * -5 + x * -5) + -1 + -4x = -3
-6 + 2x + (-10 + -5x) + -1 + -4x = -3

Reorder the terms:
-6 + -10 + -1 + 2x + -5x + -4x = -3

Combine like terms: -6 + -10 = -16
-16 + -1 + 2x + -5x + -4x = -3

Combine like terms: -16 + -1 = -17
-17 + 2x + -5x + -4x = -3

Combine like terms: 2x + -5x = -3x
-17 + -3x + -4x = -3

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

Solving
-17 + -7x = -3

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + -7x = -3 + 17

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

Combine like terms: -3 + 17 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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