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

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


Simplifying
4(x + 5) = 7 + -1(x + 2) * 7

Reorder the terms:
4(5 + x) = 7 + -1(x + 2) * 7
(5 * 4 + x * 4) = 7 + -1(x + 2) * 7
(20 + 4x) = 7 + -1(x + 2) * 7

Reorder the terms:
20 + 4x = 7 + -1(2 + x) * 7

Reorder the terms for easier multiplication:
20 + 4x = 7 + -1 * 7(2 + x)

Multiply -1 * 7
20 + 4x = 7 + -7(2 + x)
20 + 4x = 7 + (2 * -7 + x * -7)
20 + 4x = 7 + (-14 + -7x)

Combine like terms: 7 + -14 = -7
20 + 4x = -7 + -7x

Solving
20 + 4x = -7 + -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.
20 + 4x + 7x = -7 + -7x + 7x

Combine like terms: 4x + 7x = 11x
20 + 11x = -7 + -7x + 7x

Combine like terms: -7x + 7x = 0
20 + 11x = -7 + 0
20 + 11x = -7

Add '-20' to each side of the equation.
20 + -20 + 11x = -7 + -20

Combine like terms: 20 + -20 = 0
0 + 11x = -7 + -20
11x = -7 + -20

Combine like terms: -7 + -20 = -27
11x = -27

Divide each side by '11'.
x = -2.454545455

Simplifying
x = -2.454545455

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