4(x+5)=-4x+6

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


Simplifying
4(x + 5) = -4x + 6

Reorder the terms:
4(5 + x) = -4x + 6
(5 * 4 + x * 4) = -4x + 6
(20 + 4x) = -4x + 6

Reorder the terms:
20 + 4x = 6 + -4x

Solving
20 + 4x = 6 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
20 + 4x + 4x = 6 + -4x + 4x

Combine like terms: 4x + 4x = 8x
20 + 8x = 6 + -4x + 4x

Combine like terms: -4x + 4x = 0
20 + 8x = 6 + 0
20 + 8x = 6

Add '-20' to each side of the equation.
20 + -20 + 8x = 6 + -20

Combine like terms: 20 + -20 = 0
0 + 8x = 6 + -20
8x = 6 + -20

Combine like terms: 6 + -20 = -14
8x = -14

Divide each side by '8'.
x = -1.75

Simplifying
x = -1.75

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