(6x-3x+5)=(4x+7x-10)

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Solution for (6x-3x+5)=(4x+7x-10) equation:


Simplifying
(6x + -3x + 5) = (4x + 7x + -10)

Reorder the terms:
(5 + 6x + -3x) = (4x + 7x + -10)

Combine like terms: 6x + -3x = 3x
(5 + 3x) = (4x + 7x + -10)

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

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

Combine like terms: 4x + 7x = 11x
5 + 3x = (-10 + 11x)

Remove parenthesis around (-10 + 11x)
5 + 3x = -10 + 11x

Solving
5 + 3x = -10 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
5 + 3x + -11x = -10 + 11x + -11x

Combine like terms: 3x + -11x = -8x
5 + -8x = -10 + 11x + -11x

Combine like terms: 11x + -11x = 0
5 + -8x = -10 + 0
5 + -8x = -10

Add '-5' to each side of the equation.
5 + -5 + -8x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = -10 + -5
-8x = -10 + -5

Combine like terms: -10 + -5 = -15
-8x = -15

Divide each side by '-8'.
x = 1.875

Simplifying
x = 1.875

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