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

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


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

Reorder the terms:
4(3 + x) = 7 + -4(2x + 5)
(3 * 4 + x * 4) = 7 + -4(2x + 5)
(12 + 4x) = 7 + -4(2x + 5)

Reorder the terms:
12 + 4x = 7 + -4(5 + 2x)
12 + 4x = 7 + (5 * -4 + 2x * -4)
12 + 4x = 7 + (-20 + -8x)

Combine like terms: 7 + -20 = -13
12 + 4x = -13 + -8x

Solving
12 + 4x = -13 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
12 + 4x + 8x = -13 + -8x + 8x

Combine like terms: 4x + 8x = 12x
12 + 12x = -13 + -8x + 8x

Combine like terms: -8x + 8x = 0
12 + 12x = -13 + 0
12 + 12x = -13

Add '-12' to each side of the equation.
12 + -12 + 12x = -13 + -12

Combine like terms: 12 + -12 = 0
0 + 12x = -13 + -12
12x = -13 + -12

Combine like terms: -13 + -12 = -25
12x = -25

Divide each side by '12'.
x = -2.083333333

Simplifying
x = -2.083333333

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