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

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


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

Reorder the terms:
(4 + 7x) + -10x = 5(3x + -5)

Remove parenthesis around (4 + 7x)
4 + 7x + -10x = 5(3x + -5)

Combine like terms: 7x + -10x = -3x
4 + -3x = 5(3x + -5)

Reorder the terms:
4 + -3x = 5(-5 + 3x)
4 + -3x = (-5 * 5 + 3x * 5)
4 + -3x = (-25 + 15x)

Solving
4 + -3x = -25 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
4 + -3x + -15x = -25 + 15x + -15x

Combine like terms: -3x + -15x = -18x
4 + -18x = -25 + 15x + -15x

Combine like terms: 15x + -15x = 0
4 + -18x = -25 + 0
4 + -18x = -25

Add '-4' to each side of the equation.
4 + -4 + -18x = -25 + -4

Combine like terms: 4 + -4 = 0
0 + -18x = -25 + -4
-18x = -25 + -4

Combine like terms: -25 + -4 = -29
-18x = -29

Divide each side by '-18'.
x = 1.611111111

Simplifying
x = 1.611111111

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