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

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Solution for 8(2x-5)+4(5x+4)=7(4x+1)+5(2x-5) equation:


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

Reorder the terms:
8(-5 + 2x) + 4(5x + 4) = 7(4x + 1) + 5(2x + -5)
(-5 * 8 + 2x * 8) + 4(5x + 4) = 7(4x + 1) + 5(2x + -5)
(-40 + 16x) + 4(5x + 4) = 7(4x + 1) + 5(2x + -5)

Reorder the terms:
-40 + 16x + 4(4 + 5x) = 7(4x + 1) + 5(2x + -5)
-40 + 16x + (4 * 4 + 5x * 4) = 7(4x + 1) + 5(2x + -5)
-40 + 16x + (16 + 20x) = 7(4x + 1) + 5(2x + -5)

Reorder the terms:
-40 + 16 + 16x + 20x = 7(4x + 1) + 5(2x + -5)

Combine like terms: -40 + 16 = -24
-24 + 16x + 20x = 7(4x + 1) + 5(2x + -5)

Combine like terms: 16x + 20x = 36x
-24 + 36x = 7(4x + 1) + 5(2x + -5)

Reorder the terms:
-24 + 36x = 7(1 + 4x) + 5(2x + -5)
-24 + 36x = (1 * 7 + 4x * 7) + 5(2x + -5)
-24 + 36x = (7 + 28x) + 5(2x + -5)

Reorder the terms:
-24 + 36x = 7 + 28x + 5(-5 + 2x)
-24 + 36x = 7 + 28x + (-5 * 5 + 2x * 5)
-24 + 36x = 7 + 28x + (-25 + 10x)

Reorder the terms:
-24 + 36x = 7 + -25 + 28x + 10x

Combine like terms: 7 + -25 = -18
-24 + 36x = -18 + 28x + 10x

Combine like terms: 28x + 10x = 38x
-24 + 36x = -18 + 38x

Solving
-24 + 36x = -18 + 38x

Solving for variable 'x'.

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

Add '-38x' to each side of the equation.
-24 + 36x + -38x = -18 + 38x + -38x

Combine like terms: 36x + -38x = -2x
-24 + -2x = -18 + 38x + -38x

Combine like terms: 38x + -38x = 0
-24 + -2x = -18 + 0
-24 + -2x = -18

Add '24' to each side of the equation.
-24 + 24 + -2x = -18 + 24

Combine like terms: -24 + 24 = 0
0 + -2x = -18 + 24
-2x = -18 + 24

Combine like terms: -18 + 24 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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