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

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


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

Reorder the terms:
7(-3 + 5x) + -10 = 2(3x + -5) + -3(5 + -7x)
(-3 * 7 + 5x * 7) + -10 = 2(3x + -5) + -3(5 + -7x)
(-21 + 35x) + -10 = 2(3x + -5) + -3(5 + -7x)

Reorder the terms:
-21 + -10 + 35x = 2(3x + -5) + -3(5 + -7x)

Combine like terms: -21 + -10 = -31
-31 + 35x = 2(3x + -5) + -3(5 + -7x)

Reorder the terms:
-31 + 35x = 2(-5 + 3x) + -3(5 + -7x)
-31 + 35x = (-5 * 2 + 3x * 2) + -3(5 + -7x)
-31 + 35x = (-10 + 6x) + -3(5 + -7x)
-31 + 35x = -10 + 6x + (5 * -3 + -7x * -3)
-31 + 35x = -10 + 6x + (-15 + 21x)

Reorder the terms:
-31 + 35x = -10 + -15 + 6x + 21x

Combine like terms: -10 + -15 = -25
-31 + 35x = -25 + 6x + 21x

Combine like terms: 6x + 21x = 27x
-31 + 35x = -25 + 27x

Solving
-31 + 35x = -25 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
-31 + 35x + -27x = -25 + 27x + -27x

Combine like terms: 35x + -27x = 8x
-31 + 8x = -25 + 27x + -27x

Combine like terms: 27x + -27x = 0
-31 + 8x = -25 + 0
-31 + 8x = -25

Add '31' to each side of the equation.
-31 + 31 + 8x = -25 + 31

Combine like terms: -31 + 31 = 0
0 + 8x = -25 + 31
8x = -25 + 31

Combine like terms: -25 + 31 = 6
8x = 6

Divide each side by '8'.
x = 0.75

Simplifying
x = 0.75

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