6(x-7)-4(-3x-1)=17(x-2)+10

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Solution for 6(x-7)-4(-3x-1)=17(x-2)+10 equation:


Simplifying
6(x + -7) + -4(-3x + -1) = 17(x + -2) + 10

Reorder the terms:
6(-7 + x) + -4(-3x + -1) = 17(x + -2) + 10
(-7 * 6 + x * 6) + -4(-3x + -1) = 17(x + -2) + 10
(-42 + 6x) + -4(-3x + -1) = 17(x + -2) + 10

Reorder the terms:
-42 + 6x + -4(-1 + -3x) = 17(x + -2) + 10
-42 + 6x + (-1 * -4 + -3x * -4) = 17(x + -2) + 10
-42 + 6x + (4 + 12x) = 17(x + -2) + 10

Reorder the terms:
-42 + 4 + 6x + 12x = 17(x + -2) + 10

Combine like terms: -42 + 4 = -38
-38 + 6x + 12x = 17(x + -2) + 10

Combine like terms: 6x + 12x = 18x
-38 + 18x = 17(x + -2) + 10

Reorder the terms:
-38 + 18x = 17(-2 + x) + 10
-38 + 18x = (-2 * 17 + x * 17) + 10
-38 + 18x = (-34 + 17x) + 10

Reorder the terms:
-38 + 18x = -34 + 10 + 17x

Combine like terms: -34 + 10 = -24
-38 + 18x = -24 + 17x

Solving
-38 + 18x = -24 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-38 + 18x + -17x = -24 + 17x + -17x

Combine like terms: 18x + -17x = 1x
-38 + 1x = -24 + 17x + -17x

Combine like terms: 17x + -17x = 0
-38 + 1x = -24 + 0
-38 + 1x = -24

Add '38' to each side of the equation.
-38 + 38 + 1x = -24 + 38

Combine like terms: -38 + 38 = 0
0 + 1x = -24 + 38
1x = -24 + 38

Combine like terms: -24 + 38 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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