4(x+9)-(2-x)=-3(2x+7)

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Solution for 4(x+9)-(2-x)=-3(2x+7) equation:


Simplifying
4(x + 9) + -1(2 + -1x) = -3(2x + 7)

Reorder the terms:
4(9 + x) + -1(2 + -1x) = -3(2x + 7)
(9 * 4 + x * 4) + -1(2 + -1x) = -3(2x + 7)
(36 + 4x) + -1(2 + -1x) = -3(2x + 7)
36 + 4x + (2 * -1 + -1x * -1) = -3(2x + 7)
36 + 4x + (-2 + 1x) = -3(2x + 7)

Reorder the terms:
36 + -2 + 4x + 1x = -3(2x + 7)

Combine like terms: 36 + -2 = 34
34 + 4x + 1x = -3(2x + 7)

Combine like terms: 4x + 1x = 5x
34 + 5x = -3(2x + 7)

Reorder the terms:
34 + 5x = -3(7 + 2x)
34 + 5x = (7 * -3 + 2x * -3)
34 + 5x = (-21 + -6x)

Solving
34 + 5x = -21 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
34 + 5x + 6x = -21 + -6x + 6x

Combine like terms: 5x + 6x = 11x
34 + 11x = -21 + -6x + 6x

Combine like terms: -6x + 6x = 0
34 + 11x = -21 + 0
34 + 11x = -21

Add '-34' to each side of the equation.
34 + -34 + 11x = -21 + -34

Combine like terms: 34 + -34 = 0
0 + 11x = -21 + -34
11x = -21 + -34

Combine like terms: -21 + -34 = -55
11x = -55

Divide each side by '11'.
x = -5

Simplifying
x = -5

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