4x-7(3x-2)+14-8x=4(7x-10)+5(7-4x)

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Solution for 4x-7(3x-2)+14-8x=4(7x-10)+5(7-4x) equation:


Simplifying
4x + -7(3x + -2) + 14 + -8x = 4(7x + -10) + 5(7 + -4x)

Reorder the terms:
4x + -7(-2 + 3x) + 14 + -8x = 4(7x + -10) + 5(7 + -4x)
4x + (-2 * -7 + 3x * -7) + 14 + -8x = 4(7x + -10) + 5(7 + -4x)
4x + (14 + -21x) + 14 + -8x = 4(7x + -10) + 5(7 + -4x)

Reorder the terms:
14 + 14 + 4x + -21x + -8x = 4(7x + -10) + 5(7 + -4x)

Combine like terms: 14 + 14 = 28
28 + 4x + -21x + -8x = 4(7x + -10) + 5(7 + -4x)

Combine like terms: 4x + -21x = -17x
28 + -17x + -8x = 4(7x + -10) + 5(7 + -4x)

Combine like terms: -17x + -8x = -25x
28 + -25x = 4(7x + -10) + 5(7 + -4x)

Reorder the terms:
28 + -25x = 4(-10 + 7x) + 5(7 + -4x)
28 + -25x = (-10 * 4 + 7x * 4) + 5(7 + -4x)
28 + -25x = (-40 + 28x) + 5(7 + -4x)
28 + -25x = -40 + 28x + (7 * 5 + -4x * 5)
28 + -25x = -40 + 28x + (35 + -20x)

Reorder the terms:
28 + -25x = -40 + 35 + 28x + -20x

Combine like terms: -40 + 35 = -5
28 + -25x = -5 + 28x + -20x

Combine like terms: 28x + -20x = 8x
28 + -25x = -5 + 8x

Solving
28 + -25x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
28 + -25x + -8x = -5 + 8x + -8x

Combine like terms: -25x + -8x = -33x
28 + -33x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
28 + -33x = -5 + 0
28 + -33x = -5

Add '-28' to each side of the equation.
28 + -28 + -33x = -5 + -28

Combine like terms: 28 + -28 = 0
0 + -33x = -5 + -28
-33x = -5 + -28

Combine like terms: -5 + -28 = -33
-33x = -33

Divide each side by '-33'.
x = 1

Simplifying
x = 1

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