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

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


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

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

Combine like terms: 7 + 5 = 12
-8 + 4x + x(12) = x(5 + -2) + -3(6 + x) + 2

Reorder the terms for easier multiplication:
-8 + 4x + 12x = x(5 + -2) + -3(6 + x) + 2

Combine like terms: 4x + 12x = 16x
-8 + 16x = x(5 + -2) + -3(6 + x) + 2

Combine like terms: 5 + -2 = 3
-8 + 16x = x(3) + -3(6 + x) + 2

Reorder the terms for easier multiplication:
-8 + 16x = 3x + -3(6 + x) + 2
-8 + 16x = 3x + (6 * -3 + x * -3) + 2
-8 + 16x = 3x + (-18 + -3x) + 2

Reorder the terms:
-8 + 16x = -18 + 2 + 3x + -3x

Combine like terms: -18 + 2 = -16
-8 + 16x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 16x = -16 + 0
-8 + 16x = -16

Solving
-8 + 16x = -16

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 16x = -16 + 8

Combine like terms: -8 + 8 = 0
0 + 16x = -16 + 8
16x = -16 + 8

Combine like terms: -16 + 8 = -8
16x = -8

Divide each side by '16'.
x = -0.5

Simplifying
x = -0.5

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