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

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


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

Reorder the terms:
6(-2 + x) + -1(x + -3) = 5 + -4(10 + -1x)
(-2 * 6 + x * 6) + -1(x + -3) = 5 + -4(10 + -1x)
(-12 + 6x) + -1(x + -3) = 5 + -4(10 + -1x)

Reorder the terms:
-12 + 6x + -1(-3 + x) = 5 + -4(10 + -1x)
-12 + 6x + (-3 * -1 + x * -1) = 5 + -4(10 + -1x)
-12 + 6x + (3 + -1x) = 5 + -4(10 + -1x)

Reorder the terms:
-12 + 3 + 6x + -1x = 5 + -4(10 + -1x)

Combine like terms: -12 + 3 = -9
-9 + 6x + -1x = 5 + -4(10 + -1x)

Combine like terms: 6x + -1x = 5x
-9 + 5x = 5 + -4(10 + -1x)
-9 + 5x = 5 + (10 * -4 + -1x * -4)
-9 + 5x = 5 + (-40 + 4x)

Combine like terms: 5 + -40 = -35
-9 + 5x = -35 + 4x

Solving
-9 + 5x = -35 + 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.
-9 + 5x + -4x = -35 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-9 + 1x = -35 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 1x = -35 + 0
-9 + 1x = -35

Add '9' to each side of the equation.
-9 + 9 + 1x = -35 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -35 + 9
1x = -35 + 9

Combine like terms: -35 + 9 = -26
1x = -26

Divide each side by '1'.
x = -26

Simplifying
x = -26

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