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

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


Simplifying
4(x + 7) = 7(3 + -1x) + -4(x + -2)

Reorder the terms:
4(7 + x) = 7(3 + -1x) + -4(x + -2)
(7 * 4 + x * 4) = 7(3 + -1x) + -4(x + -2)
(28 + 4x) = 7(3 + -1x) + -4(x + -2)
28 + 4x = (3 * 7 + -1x * 7) + -4(x + -2)
28 + 4x = (21 + -7x) + -4(x + -2)

Reorder the terms:
28 + 4x = 21 + -7x + -4(-2 + x)
28 + 4x = 21 + -7x + (-2 * -4 + x * -4)
28 + 4x = 21 + -7x + (8 + -4x)

Reorder the terms:
28 + 4x = 21 + 8 + -7x + -4x

Combine like terms: 21 + 8 = 29
28 + 4x = 29 + -7x + -4x

Combine like terms: -7x + -4x = -11x
28 + 4x = 29 + -11x

Solving
28 + 4x = 29 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
28 + 4x + 11x = 29 + -11x + 11x

Combine like terms: 4x + 11x = 15x
28 + 15x = 29 + -11x + 11x

Combine like terms: -11x + 11x = 0
28 + 15x = 29 + 0
28 + 15x = 29

Add '-28' to each side of the equation.
28 + -28 + 15x = 29 + -28

Combine like terms: 28 + -28 = 0
0 + 15x = 29 + -28
15x = 29 + -28

Combine like terms: 29 + -28 = 1
15x = 1

Divide each side by '15'.
x = 0.06666666667

Simplifying
x = 0.06666666667

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