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

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Solution for 9(x+4)-2(x-3)=2(x-1)+4(x-2) equation: 


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

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

Reorder the terms:
36 + 9x + -2(-3 + x) = 2(x + -1) + 4(x + -2)
36 + 9x + (-3 * -2 + x * -2) = 2(x + -1) + 4(x + -2)
36 + 9x + (6 + -2x) = 2(x + -1) + 4(x + -2)

Reorder the terms:
36 + 6 + 9x + -2x = 2(x + -1) + 4(x + -2)

Combine like terms: 36 + 6 = 42
42 + 9x + -2x = 2(x + -1) + 4(x + -2)

Combine like terms: 9x + -2x = 7x
42 + 7x = 2(x + -1) + 4(x + -2)

Reorder the terms:
42 + 7x = 2(-1 + x) + 4(x + -2)
42 + 7x = (-1 * 2 + x * 2) + 4(x + -2)
42 + 7x = (-2 + 2x) + 4(x + -2)

Reorder the terms:
42 + 7x = -2 + 2x + 4(-2 + x)
42 + 7x = -2 + 2x + (-2 * 4 + x * 4)
42 + 7x = -2 + 2x + (-8 + 4x)

Reorder the terms:
42 + 7x = -2 + -8 + 2x + 4x

Combine like terms: -2 + -8 = -10
42 + 7x = -10 + 2x + 4x

Combine like terms: 2x + 4x = 6x
42 + 7x = -10 + 6x

Solving
42 + 7x = -10 + 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.
42 + 7x + -6x = -10 + 6x + -6x

Combine like terms: 7x + -6x = 1x
42 + 1x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
42 + 1x = -10 + 0
42 + 1x = -10

Add '-42' to each side of the equation.
42 + -42 + 1x = -10 + -42

Combine like terms: 42 + -42 = 0
0 + 1x = -10 + -42
1x = -10 + -42

Combine like terms: -10 + -42 = -52
1x = -52

Divide each side by '1'.
x = -52

Simplifying
x = -52

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