2(7x-10)-4(3x-7)=5(4x-5)

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Solution for 2(7x-10)-4(3x-7)=5(4x-5) equation:


Simplifying
2(7x + -10) + -4(3x + -7) = 5(4x + -5)

Reorder the terms:
2(-10 + 7x) + -4(3x + -7) = 5(4x + -5)
(-10 * 2 + 7x * 2) + -4(3x + -7) = 5(4x + -5)
(-20 + 14x) + -4(3x + -7) = 5(4x + -5)

Reorder the terms:
-20 + 14x + -4(-7 + 3x) = 5(4x + -5)
-20 + 14x + (-7 * -4 + 3x * -4) = 5(4x + -5)
-20 + 14x + (28 + -12x) = 5(4x + -5)

Reorder the terms:
-20 + 28 + 14x + -12x = 5(4x + -5)

Combine like terms: -20 + 28 = 8
8 + 14x + -12x = 5(4x + -5)

Combine like terms: 14x + -12x = 2x
8 + 2x = 5(4x + -5)

Reorder the terms:
8 + 2x = 5(-5 + 4x)
8 + 2x = (-5 * 5 + 4x * 5)
8 + 2x = (-25 + 20x)

Solving
8 + 2x = -25 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
8 + 2x + -20x = -25 + 20x + -20x

Combine like terms: 2x + -20x = -18x
8 + -18x = -25 + 20x + -20x

Combine like terms: 20x + -20x = 0
8 + -18x = -25 + 0
8 + -18x = -25

Add '-8' to each side of the equation.
8 + -8 + -18x = -25 + -8

Combine like terms: 8 + -8 = 0
0 + -18x = -25 + -8
-18x = -25 + -8

Combine like terms: -25 + -8 = -33
-18x = -33

Divide each side by '-18'.
x = 1.833333333

Simplifying
x = 1.833333333

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