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

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


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

Multiply 4 * 2
5x + 8 = -7(x + -3)

Reorder the terms:
8 + 5x = -7(x + -3)

Reorder the terms:
8 + 5x = -7(-3 + x)
8 + 5x = (-3 * -7 + x * -7)
8 + 5x = (21 + -7x)

Solving
8 + 5x = 21 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
8 + 5x + 7x = 21 + -7x + 7x

Combine like terms: 5x + 7x = 12x
8 + 12x = 21 + -7x + 7x

Combine like terms: -7x + 7x = 0
8 + 12x = 21 + 0
8 + 12x = 21

Add '-8' to each side of the equation.
8 + -8 + 12x = 21 + -8

Combine like terms: 8 + -8 = 0
0 + 12x = 21 + -8
12x = 21 + -8

Combine like terms: 21 + -8 = 13
12x = 13

Divide each side by '12'.
x = 1.083333333

Simplifying
x = 1.083333333

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