6x-3(6-5x)+3=10-4(2-x)

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Solution for 6x-3(6-5x)+3=10-4(2-x) equation:


Simplifying
6x + -3(6 + -5x) + 3 = 10 + -4(2 + -1x)
6x + (6 * -3 + -5x * -3) + 3 = 10 + -4(2 + -1x)
6x + (-18 + 15x) + 3 = 10 + -4(2 + -1x)

Reorder the terms:
-18 + 3 + 6x + 15x = 10 + -4(2 + -1x)

Combine like terms: -18 + 3 = -15
-15 + 6x + 15x = 10 + -4(2 + -1x)

Combine like terms: 6x + 15x = 21x
-15 + 21x = 10 + -4(2 + -1x)
-15 + 21x = 10 + (2 * -4 + -1x * -4)
-15 + 21x = 10 + (-8 + 4x)

Combine like terms: 10 + -8 = 2
-15 + 21x = 2 + 4x

Solving
-15 + 21x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + 21x + -4x = 2 + 4x + -4x

Combine like terms: 21x + -4x = 17x
-15 + 17x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 17x = 2 + 0
-15 + 17x = 2

Add '15' to each side of the equation.
-15 + 15 + 17x = 2 + 15

Combine like terms: -15 + 15 = 0
0 + 17x = 2 + 15
17x = 2 + 15

Combine like terms: 2 + 15 = 17
17x = 17

Divide each side by '17'.
x = 1

Simplifying
x = 1

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