3(2-x)-5(7-2x)=10-4x+5

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Solution for 3(2-x)-5(7-2x)=10-4x+5 equation: 


Simplifying
3(2 + -1x) + -5(7 + -2x) = 10 + -4x + 5
(2 * 3 + -1x * 3) + -5(7 + -2x) = 10 + -4x + 5
(6 + -3x) + -5(7 + -2x) = 10 + -4x + 5
6 + -3x + (7 * -5 + -2x * -5) = 10 + -4x + 5
6 + -3x + (-35 + 10x) = 10 + -4x + 5

Reorder the terms:
6 + -35 + -3x + 10x = 10 + -4x + 5

Combine like terms: 6 + -35 = -29
-29 + -3x + 10x = 10 + -4x + 5

Combine like terms: -3x + 10x = 7x
-29 + 7x = 10 + -4x + 5

Reorder the terms:
-29 + 7x = 10 + 5 + -4x

Combine like terms: 10 + 5 = 15
-29 + 7x = 15 + -4x

Solving
-29 + 7x = 15 + -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.
-29 + 7x + 4x = 15 + -4x + 4x

Combine like terms: 7x + 4x = 11x
-29 + 11x = 15 + -4x + 4x

Combine like terms: -4x + 4x = 0
-29 + 11x = 15 + 0
-29 + 11x = 15

Add '29' to each side of the equation.
-29 + 29 + 11x = 15 + 29

Combine like terms: -29 + 29 = 0
0 + 11x = 15 + 29
11x = 15 + 29

Combine like terms: 15 + 29 = 44
11x = 44

Divide each side by '11'.
x = 4

Simplifying
x = 4

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