13x+7(2x-9)+32-2(7x-13)=4x-2[2(7-3x)-5(x+1)]

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Solution for 13x+7(2x-9)+32-2(7x-13)=4x-2[2(7-3x)-5(x+1)] equation:


Simplifying
13x + 7(2x + -9) + 32 + -2(7x + -13) = 4x + -2[2(7 + -3x) + -5(x + 1)]

Reorder the terms:
13x + 7(-9 + 2x) + 32 + -2(7x + -13) = 4x + -2[2(7 + -3x) + -5(x + 1)]
13x + (-9 * 7 + 2x * 7) + 32 + -2(7x + -13) = 4x + -2[2(7 + -3x) + -5(x + 1)]
13x + (-63 + 14x) + 32 + -2(7x + -13) = 4x + -2[2(7 + -3x) + -5(x + 1)]

Reorder the terms:
13x + -63 + 14x + 32 + -2(-13 + 7x) = 4x + -2[2(7 + -3x) + -5(x + 1)]
13x + -63 + 14x + 32 + (-13 * -2 + 7x * -2) = 4x + -2[2(7 + -3x) + -5(x + 1)]
13x + -63 + 14x + 32 + (26 + -14x) = 4x + -2[2(7 + -3x) + -5(x + 1)]

Reorder the terms:
-63 + 32 + 26 + 13x + 14x + -14x = 4x + -2[2(7 + -3x) + -5(x + 1)]

Combine like terms: -63 + 32 = -31
-31 + 26 + 13x + 14x + -14x = 4x + -2[2(7 + -3x) + -5(x + 1)]

Combine like terms: -31 + 26 = -5
-5 + 13x + 14x + -14x = 4x + -2[2(7 + -3x) + -5(x + 1)]

Combine like terms: 13x + 14x = 27x
-5 + 27x + -14x = 4x + -2[2(7 + -3x) + -5(x + 1)]

Combine like terms: 27x + -14x = 13x
-5 + 13x = 4x + -2[2(7 + -3x) + -5(x + 1)]
-5 + 13x = 4x + -2[(7 * 2 + -3x * 2) + -5(x + 1)]
-5 + 13x = 4x + -2[(14 + -6x) + -5(x + 1)]

Reorder the terms:
-5 + 13x = 4x + -2[14 + -6x + -5(1 + x)]
-5 + 13x = 4x + -2[14 + -6x + (1 * -5 + x * -5)]
-5 + 13x = 4x + -2[14 + -6x + (-5 + -5x)]

Reorder the terms:
-5 + 13x = 4x + -2[14 + -5 + -6x + -5x]

Combine like terms: 14 + -5 = 9
-5 + 13x = 4x + -2[9 + -6x + -5x]

Combine like terms: -6x + -5x = -11x
-5 + 13x = 4x + -2[9 + -11x]
-5 + 13x = 4x + [9 * -2 + -11x * -2]
-5 + 13x = 4x + [-18 + 22x]

Reorder the terms:
-5 + 13x = -18 + 4x + 22x

Combine like terms: 4x + 22x = 26x
-5 + 13x = -18 + 26x

Solving
-5 + 13x = -18 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
-5 + 13x + -26x = -18 + 26x + -26x

Combine like terms: 13x + -26x = -13x
-5 + -13x = -18 + 26x + -26x

Combine like terms: 26x + -26x = 0
-5 + -13x = -18 + 0
-5 + -13x = -18

Add '5' to each side of the equation.
-5 + 5 + -13x = -18 + 5

Combine like terms: -5 + 5 = 0
0 + -13x = -18 + 5
-13x = -18 + 5

Combine like terms: -18 + 5 = -13
-13x = -13

Divide each side by '-13'.
x = 1

Simplifying
x = 1

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