3(x-2)-5(x-3)-x-19+2x=3+2(-1+x)-4(x+5)+7x+8-5x-6

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Solution for 3(x-2)-5(x-3)-x-19+2x=3+2(-1+x)-4(x+5)+7x+8-5x-6 equation: 


Simplifying
3(x + -2) + -5(x + -3) + -1x + -19 + 2x = 3 + 2(-1 + x) + -4(x + 5) + 7x + 8 + -5x + -6

Reorder the terms:
3(-2 + x) + -5(x + -3) + -1x + -19 + 2x = 3 + 2(-1 + x) + -4(x + 5) + 7x + 8 + -5x + -6
(-2 * 3 + x * 3) + -5(x + -3) + -1x + -19 + 2x = 3 + 2(-1 + x) + -4(x + 5) + 7x + 8 + -5x + -6
(-6 + 3x) + -5(x + -3) + -1x + -19 + 2x = 3 + 2(-1 + x) + -4(x + 5) + 7x + 8 + -5x + -6

Reorder the terms:
-6 + 3x + -5(-3 + x) + -1x + -19 + 2x = 3 + 2(-1 + x) + -4(x + 5) + 7x + 8 + -5x + -6
-6 + 3x + (-3 * -5 + x * -5) + -1x + -19 + 2x = 3 + 2(-1 + x) + -4(x + 5) + 7x + 8 + -5x + -6
-6 + 3x + (15 + -5x) + -1x + -19 + 2x = 3 + 2(-1 + x) + -4(x + 5) + 7x + 8 + -5x + -6

Reorder the terms:
-6 + 15 + -19 + 3x + -5x + -1x + 2x = 3 + 2(-1 + x) + -4(x + 5) + 7x + 8 + -5x + -6

Combine like terms: -6 + 15 = 9
9 + -19 + 3x + -5x + -1x + 2x = 3 + 2(-1 + x) + -4(x + 5) + 7x + 8 + -5x + -6

Combine like terms: 9 + -19 = -10
-10 + 3x + -5x + -1x + 2x = 3 + 2(-1 + x) + -4(x + 5) + 7x + 8 + -5x + -6

Combine like terms: 3x + -5x = -2x
-10 + -2x + -1x + 2x = 3 + 2(-1 + x) + -4(x + 5) + 7x + 8 + -5x + -6

Combine like terms: -2x + -1x = -3x
-10 + -3x + 2x = 3 + 2(-1 + x) + -4(x + 5) + 7x + 8 + -5x + -6

Combine like terms: -3x + 2x = -1x
-10 + -1x = 3 + 2(-1 + x) + -4(x + 5) + 7x + 8 + -5x + -6
-10 + -1x = 3 + (-1 * 2 + x * 2) + -4(x + 5) + 7x + 8 + -5x + -6
-10 + -1x = 3 + (-2 + 2x) + -4(x + 5) + 7x + 8 + -5x + -6

Reorder the terms:
-10 + -1x = 3 + -2 + 2x + -4(5 + x) + 7x + 8 + -5x + -6
-10 + -1x = 3 + -2 + 2x + (5 * -4 + x * -4) + 7x + 8 + -5x + -6
-10 + -1x = 3 + -2 + 2x + (-20 + -4x) + 7x + 8 + -5x + -6

Reorder the terms:
-10 + -1x = 3 + -2 + -20 + 8 + -6 + 2x + -4x + 7x + -5x

Combine like terms: 3 + -2 = 1
-10 + -1x = 1 + -20 + 8 + -6 + 2x + -4x + 7x + -5x

Combine like terms: 1 + -20 = -19
-10 + -1x = -19 + 8 + -6 + 2x + -4x + 7x + -5x

Combine like terms: -19 + 8 = -11
-10 + -1x = -11 + -6 + 2x + -4x + 7x + -5x

Combine like terms: -11 + -6 = -17
-10 + -1x = -17 + 2x + -4x + 7x + -5x

Combine like terms: 2x + -4x = -2x
-10 + -1x = -17 + -2x + 7x + -5x

Combine like terms: -2x + 7x = 5x
-10 + -1x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -1x = -17 + 0
-10 + -1x = -17

Solving
-10 + -1x = -17

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + -1x = -17 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -17 + 10
-1x = -17 + 10

Combine like terms: -17 + 10 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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