7(2x+1)=-4(x+12)

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Solution for 7(2x+1)=-4(x+12) equation:


Simplifying
7(2x + 1) = -4(x + 12)

Reorder the terms:
7(1 + 2x) = -4(x + 12)
(1 * 7 + 2x * 7) = -4(x + 12)
(7 + 14x) = -4(x + 12)

Reorder the terms:
7 + 14x = -4(12 + x)
7 + 14x = (12 * -4 + x * -4)
7 + 14x = (-48 + -4x)

Solving
7 + 14x = -48 + -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.
7 + 14x + 4x = -48 + -4x + 4x

Combine like terms: 14x + 4x = 18x
7 + 18x = -48 + -4x + 4x

Combine like terms: -4x + 4x = 0
7 + 18x = -48 + 0
7 + 18x = -48

Add '-7' to each side of the equation.
7 + -7 + 18x = -48 + -7

Combine like terms: 7 + -7 = 0
0 + 18x = -48 + -7
18x = -48 + -7

Combine like terms: -48 + -7 = -55
18x = -55

Divide each side by '18'.
x = -3.055555556

Simplifying
x = -3.055555556

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