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

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


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

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

Remove parenthesis around (5 + 3x)
5 + 3x = (10x + -7)

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

Remove parenthesis around (-7 + 10x)
5 + 3x = -7 + 10x

Solving
5 + 3x = -7 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
5 + 3x + -10x = -7 + 10x + -10x

Combine like terms: 3x + -10x = -7x
5 + -7x = -7 + 10x + -10x

Combine like terms: 10x + -10x = 0
5 + -7x = -7 + 0
5 + -7x = -7

Add '-5' to each side of the equation.
5 + -5 + -7x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = -7 + -5
-7x = -7 + -5

Combine like terms: -7 + -5 = -12
-7x = -12

Divide each side by '-7'.
x = 1.714285714

Simplifying
x = 1.714285714

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