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

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


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

Reorder the terms:
3(-3 + 4x) + -1(x + 7) = 5(10 + -1x) + 2
(-3 * 3 + 4x * 3) + -1(x + 7) = 5(10 + -1x) + 2
(-9 + 12x) + -1(x + 7) = 5(10 + -1x) + 2

Reorder the terms:
-9 + 12x + -1(7 + x) = 5(10 + -1x) + 2
-9 + 12x + (7 * -1 + x * -1) = 5(10 + -1x) + 2
-9 + 12x + (-7 + -1x) = 5(10 + -1x) + 2

Reorder the terms:
-9 + -7 + 12x + -1x = 5(10 + -1x) + 2

Combine like terms: -9 + -7 = -16
-16 + 12x + -1x = 5(10 + -1x) + 2

Combine like terms: 12x + -1x = 11x
-16 + 11x = 5(10 + -1x) + 2
-16 + 11x = (10 * 5 + -1x * 5) + 2
-16 + 11x = (50 + -5x) + 2

Reorder the terms:
-16 + 11x = 50 + 2 + -5x

Combine like terms: 50 + 2 = 52
-16 + 11x = 52 + -5x

Solving
-16 + 11x = 52 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-16 + 11x + 5x = 52 + -5x + 5x

Combine like terms: 11x + 5x = 16x
-16 + 16x = 52 + -5x + 5x

Combine like terms: -5x + 5x = 0
-16 + 16x = 52 + 0
-16 + 16x = 52

Add '16' to each side of the equation.
-16 + 16 + 16x = 52 + 16

Combine like terms: -16 + 16 = 0
0 + 16x = 52 + 16
16x = 52 + 16

Combine like terms: 52 + 16 = 68
16x = 68

Divide each side by '16'.
x = 4.25

Simplifying
x = 4.25

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