2(8x-6)-5(7x-8)=3(7x-5)-9(4x-3)

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Solution for 2(8x-6)-5(7x-8)=3(7x-5)-9(4x-3) equation:


Simplifying
2(8x + -6) + -5(7x + -8) = 3(7x + -5) + -9(4x + -3)

Reorder the terms:
2(-6 + 8x) + -5(7x + -8) = 3(7x + -5) + -9(4x + -3)
(-6 * 2 + 8x * 2) + -5(7x + -8) = 3(7x + -5) + -9(4x + -3)
(-12 + 16x) + -5(7x + -8) = 3(7x + -5) + -9(4x + -3)

Reorder the terms:
-12 + 16x + -5(-8 + 7x) = 3(7x + -5) + -9(4x + -3)
-12 + 16x + (-8 * -5 + 7x * -5) = 3(7x + -5) + -9(4x + -3)
-12 + 16x + (40 + -35x) = 3(7x + -5) + -9(4x + -3)

Reorder the terms:
-12 + 40 + 16x + -35x = 3(7x + -5) + -9(4x + -3)

Combine like terms: -12 + 40 = 28
28 + 16x + -35x = 3(7x + -5) + -9(4x + -3)

Combine like terms: 16x + -35x = -19x
28 + -19x = 3(7x + -5) + -9(4x + -3)

Reorder the terms:
28 + -19x = 3(-5 + 7x) + -9(4x + -3)
28 + -19x = (-5 * 3 + 7x * 3) + -9(4x + -3)
28 + -19x = (-15 + 21x) + -9(4x + -3)

Reorder the terms:
28 + -19x = -15 + 21x + -9(-3 + 4x)
28 + -19x = -15 + 21x + (-3 * -9 + 4x * -9)
28 + -19x = -15 + 21x + (27 + -36x)

Reorder the terms:
28 + -19x = -15 + 27 + 21x + -36x

Combine like terms: -15 + 27 = 12
28 + -19x = 12 + 21x + -36x

Combine like terms: 21x + -36x = -15x
28 + -19x = 12 + -15x

Solving
28 + -19x = 12 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
28 + -19x + 15x = 12 + -15x + 15x

Combine like terms: -19x + 15x = -4x
28 + -4x = 12 + -15x + 15x

Combine like terms: -15x + 15x = 0
28 + -4x = 12 + 0
28 + -4x = 12

Add '-28' to each side of the equation.
28 + -28 + -4x = 12 + -28

Combine like terms: 28 + -28 = 0
0 + -4x = 12 + -28
-4x = 12 + -28

Combine like terms: 12 + -28 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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