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

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


Simplifying
2(5x + -4) + -3(5 + -1x) = 8(2x + -7)

Reorder the terms:
2(-4 + 5x) + -3(5 + -1x) = 8(2x + -7)
(-4 * 2 + 5x * 2) + -3(5 + -1x) = 8(2x + -7)
(-8 + 10x) + -3(5 + -1x) = 8(2x + -7)
-8 + 10x + (5 * -3 + -1x * -3) = 8(2x + -7)
-8 + 10x + (-15 + 3x) = 8(2x + -7)

Reorder the terms:
-8 + -15 + 10x + 3x = 8(2x + -7)

Combine like terms: -8 + -15 = -23
-23 + 10x + 3x = 8(2x + -7)

Combine like terms: 10x + 3x = 13x
-23 + 13x = 8(2x + -7)

Reorder the terms:
-23 + 13x = 8(-7 + 2x)
-23 + 13x = (-7 * 8 + 2x * 8)
-23 + 13x = (-56 + 16x)

Solving
-23 + 13x = -56 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-23 + 13x + -16x = -56 + 16x + -16x

Combine like terms: 13x + -16x = -3x
-23 + -3x = -56 + 16x + -16x

Combine like terms: 16x + -16x = 0
-23 + -3x = -56 + 0
-23 + -3x = -56

Add '23' to each side of the equation.
-23 + 23 + -3x = -56 + 23

Combine like terms: -23 + 23 = 0
0 + -3x = -56 + 23
-3x = -56 + 23

Combine like terms: -56 + 23 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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