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

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


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

Reorder the terms:
-1x + -7(-2 + x) + -2(-3x + 2) = 4
-1x + (-2 * -7 + x * -7) + -2(-3x + 2) = 4
-1x + (14 + -7x) + -2(-3x + 2) = 4

Reorder the terms:
-1x + 14 + -7x + -2(2 + -3x) = 4
-1x + 14 + -7x + (2 * -2 + -3x * -2) = 4
-1x + 14 + -7x + (-4 + 6x) = 4

Reorder the terms:
14 + -4 + -1x + -7x + 6x = 4

Combine like terms: 14 + -4 = 10
10 + -1x + -7x + 6x = 4

Combine like terms: -1x + -7x = -8x
10 + -8x + 6x = 4

Combine like terms: -8x + 6x = -2x
10 + -2x = 4

Solving
10 + -2x = 4

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 + -2x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 4 + -10
-2x = 4 + -10

Combine like terms: 4 + -10 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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