8x-3(2x-3)=7x-2(5x+8)

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Solution for 8x-3(2x-3)=7x-2(5x+8) equation:


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

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

Reorder the terms:
9 + 8x + -6x = 7x + -2(5x + 8)

Combine like terms: 8x + -6x = 2x
9 + 2x = 7x + -2(5x + 8)

Reorder the terms:
9 + 2x = 7x + -2(8 + 5x)
9 + 2x = 7x + (8 * -2 + 5x * -2)
9 + 2x = 7x + (-16 + -10x)

Reorder the terms:
9 + 2x = -16 + 7x + -10x

Combine like terms: 7x + -10x = -3x
9 + 2x = -16 + -3x

Solving
9 + 2x = -16 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
9 + 2x + 3x = -16 + -3x + 3x

Combine like terms: 2x + 3x = 5x
9 + 5x = -16 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 5x = -16 + 0
9 + 5x = -16

Add '-9' to each side of the equation.
9 + -9 + 5x = -16 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = -16 + -9
5x = -16 + -9

Combine like terms: -16 + -9 = -25
5x = -25

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

Simplifying
x = -5

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