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

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


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

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

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

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

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

Combine like terms: 8 + 3 = 11
11 + -4x + -2x = -7(x + -3) + -1(4x + 8) + 4

Combine like terms: -4x + -2x = -6x
11 + -6x = -7(x + -3) + -1(4x + 8) + 4

Reorder the terms:
11 + -6x = -7(-3 + x) + -1(4x + 8) + 4
11 + -6x = (-3 * -7 + x * -7) + -1(4x + 8) + 4
11 + -6x = (21 + -7x) + -1(4x + 8) + 4

Reorder the terms:
11 + -6x = 21 + -7x + -1(8 + 4x) + 4
11 + -6x = 21 + -7x + (8 * -1 + 4x * -1) + 4
11 + -6x = 21 + -7x + (-8 + -4x) + 4

Reorder the terms:
11 + -6x = 21 + -8 + 4 + -7x + -4x

Combine like terms: 21 + -8 = 13
11 + -6x = 13 + 4 + -7x + -4x

Combine like terms: 13 + 4 = 17
11 + -6x = 17 + -7x + -4x

Combine like terms: -7x + -4x = -11x
11 + -6x = 17 + -11x

Solving
11 + -6x = 17 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
11 + -6x + 11x = 17 + -11x + 11x

Combine like terms: -6x + 11x = 5x
11 + 5x = 17 + -11x + 11x

Combine like terms: -11x + 11x = 0
11 + 5x = 17 + 0
11 + 5x = 17

Add '-11' to each side of the equation.
11 + -11 + 5x = 17 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 17 + -11
5x = 17 + -11

Combine like terms: 17 + -11 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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