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

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


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

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

Reorder the terms:
10 + -5x = -12 + 3x + -2(7 + x)
10 + -5x = -12 + 3x + (7 * -2 + x * -2)
10 + -5x = -12 + 3x + (-14 + -2x)

Reorder the terms:
10 + -5x = -12 + -14 + 3x + -2x

Combine like terms: -12 + -14 = -26
10 + -5x = -26 + 3x + -2x

Combine like terms: 3x + -2x = 1x
10 + -5x = -26 + 1x

Solving
10 + -5x = -26 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -5x + -1x = -26 + 1x + -1x

Combine like terms: -5x + -1x = -6x
10 + -6x = -26 + 1x + -1x

Combine like terms: 1x + -1x = 0
10 + -6x = -26 + 0
10 + -6x = -26

Add '-10' to each side of the equation.
10 + -10 + -6x = -26 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -26 + -10
-6x = -26 + -10

Combine like terms: -26 + -10 = -36
-6x = -36

Divide each side by '-6'.
x = 6

Simplifying
x = 6

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