10(x-1)+4(5-2x)=-14

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Solution for 10(x-1)+4(5-2x)=-14 equation: 


Simplifying
10(x + -1) + 4(5 + -2x) = -14

Reorder the terms:
10(-1 + x) + 4(5 + -2x) = -14
(-1 * 10 + x * 10) + 4(5 + -2x) = -14
(-10 + 10x) + 4(5 + -2x) = -14
-10 + 10x + (5 * 4 + -2x * 4) = -14
-10 + 10x + (20 + -8x) = -14

Reorder the terms:
-10 + 20 + 10x + -8x = -14

Combine like terms: -10 + 20 = 10
10 + 10x + -8x = -14

Combine like terms: 10x + -8x = 2x
10 + 2x = -14

Solving
10 + 2x = -14

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 2x = -14 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = -14 + -10
2x = -14 + -10

Combine like terms: -14 + -10 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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