-(5x-4)-(9x-5)+6=-10(x-1)-(7x+10)+3

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Solution for -(5x-4)-(9x-5)+6=-10(x-1)-(7x+10)+3 equation: 


Simplifying
-1(5x + -4) + -1(9x + -5) + 6 = -10(x + -1) + -1(7x + 10) + 3

Reorder the terms:
-1(-4 + 5x) + -1(9x + -5) + 6 = -10(x + -1) + -1(7x + 10) + 3
(-4 * -1 + 5x * -1) + -1(9x + -5) + 6 = -10(x + -1) + -1(7x + 10) + 3
(4 + -5x) + -1(9x + -5) + 6 = -10(x + -1) + -1(7x + 10) + 3

Reorder the terms:
4 + -5x + -1(-5 + 9x) + 6 = -10(x + -1) + -1(7x + 10) + 3
4 + -5x + (-5 * -1 + 9x * -1) + 6 = -10(x + -1) + -1(7x + 10) + 3
4 + -5x + (5 + -9x) + 6 = -10(x + -1) + -1(7x + 10) + 3

Reorder the terms:
4 + 5 + 6 + -5x + -9x = -10(x + -1) + -1(7x + 10) + 3

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

Combine like terms: 9 + 6 = 15
15 + -5x + -9x = -10(x + -1) + -1(7x + 10) + 3

Combine like terms: -5x + -9x = -14x
15 + -14x = -10(x + -1) + -1(7x + 10) + 3

Reorder the terms:
15 + -14x = -10(-1 + x) + -1(7x + 10) + 3
15 + -14x = (-1 * -10 + x * -10) + -1(7x + 10) + 3
15 + -14x = (10 + -10x) + -1(7x + 10) + 3

Reorder the terms:
15 + -14x = 10 + -10x + -1(10 + 7x) + 3
15 + -14x = 10 + -10x + (10 * -1 + 7x * -1) + 3
15 + -14x = 10 + -10x + (-10 + -7x) + 3

Reorder the terms:
15 + -14x = 10 + -10 + 3 + -10x + -7x

Combine like terms: 10 + -10 = 0
15 + -14x = 0 + 3 + -10x + -7x
15 + -14x = 3 + -10x + -7x

Combine like terms: -10x + -7x = -17x
15 + -14x = 3 + -17x

Solving
15 + -14x = 3 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
15 + -14x + 17x = 3 + -17x + 17x

Combine like terms: -14x + 17x = 3x
15 + 3x = 3 + -17x + 17x

Combine like terms: -17x + 17x = 0
15 + 3x = 3 + 0
15 + 3x = 3

Add '-15' to each side of the equation.
15 + -15 + 3x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 3 + -15
3x = 3 + -15

Combine like terms: 3 + -15 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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