1.6x-4(x+7)=5+2(x+6)

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Solution for 1.6x-4(x+7)=5+2(x+6) equation:


Simplifying
1.6x + -4(x + 7) = 5 + 2(x + 6)

Reorder the terms:
1.6x + -4(7 + x) = 5 + 2(x + 6)
1.6x + (7 * -4 + x * -4) = 5 + 2(x + 6)
1.6x + (-28 + -4x) = 5 + 2(x + 6)

Reorder the terms:
-28 + 1.6x + -4x = 5 + 2(x + 6)

Combine like terms: 1.6x + -4x = -2.4x
-28 + -2.4x = 5 + 2(x + 6)

Reorder the terms:
-28 + -2.4x = 5 + 2(6 + x)
-28 + -2.4x = 5 + (6 * 2 + x * 2)
-28 + -2.4x = 5 + (12 + 2x)

Combine like terms: 5 + 12 = 17
-28 + -2.4x = 17 + 2x

Solving
-28 + -2.4x = 17 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-28 + -2.4x + -2x = 17 + 2x + -2x

Combine like terms: -2.4x + -2x = -4.4x
-28 + -4.4x = 17 + 2x + -2x

Combine like terms: 2x + -2x = 0
-28 + -4.4x = 17 + 0
-28 + -4.4x = 17

Add '28' to each side of the equation.
-28 + 28 + -4.4x = 17 + 28

Combine like terms: -28 + 28 = 0
0 + -4.4x = 17 + 28
-4.4x = 17 + 28

Combine like terms: 17 + 28 = 45
-4.4x = 45

Divide each side by '-4.4'.
x = -10.22727273

Simplifying
x = -10.22727273

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