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

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


Simplifying
4(3 + -2x) = 7(x + 4)
(3 * 4 + -2x * 4) = 7(x + 4)
(12 + -8x) = 7(x + 4)

Reorder the terms:
12 + -8x = 7(4 + x)
12 + -8x = (4 * 7 + x * 7)
12 + -8x = (28 + 7x)

Solving
12 + -8x = 28 + 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.
12 + -8x + -7x = 28 + 7x + -7x

Combine like terms: -8x + -7x = -15x
12 + -15x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -15x = 28 + 0
12 + -15x = 28

Add '-12' to each side of the equation.
12 + -12 + -15x = 28 + -12

Combine like terms: 12 + -12 = 0
0 + -15x = 28 + -12
-15x = 28 + -12

Combine like terms: 28 + -12 = 16
-15x = 16

Divide each side by '-15'.
x = -1.066666667

Simplifying
x = -1.066666667

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