-5(x-10)+4(x-4)=21

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Solution for -5(x-10)+4(x-4)=21 equation: 


Simplifying
-5(x + -10) + 4(x + -4) = 21

Reorder the terms:
-5(-10 + x) + 4(x + -4) = 21
(-10 * -5 + x * -5) + 4(x + -4) = 21
(50 + -5x) + 4(x + -4) = 21

Reorder the terms:
50 + -5x + 4(-4 + x) = 21
50 + -5x + (-4 * 4 + x * 4) = 21
50 + -5x + (-16 + 4x) = 21

Reorder the terms:
50 + -16 + -5x + 4x = 21

Combine like terms: 50 + -16 = 34
34 + -5x + 4x = 21

Combine like terms: -5x + 4x = -1x
34 + -1x = 21

Solving
34 + -1x = 21

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + -1x = 21 + -34

Combine like terms: 34 + -34 = 0
0 + -1x = 21 + -34
-1x = 21 + -34

Combine like terms: 21 + -34 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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