(7-3x)*(-10)=22-2(4-x)

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Solution for (7-3x)*(-10)=22-2(4-x) equation:


Simplifying
(7 + -3x)(-10) = 22 + -2(4 + -1x)

Reorder the terms for easier multiplication:
-10(7 + -3x) = 22 + -2(4 + -1x)
(7 * -10 + -3x * -10) = 22 + -2(4 + -1x)
(-70 + 30x) = 22 + -2(4 + -1x)
-70 + 30x = 22 + (4 * -2 + -1x * -2)
-70 + 30x = 22 + (-8 + 2x)

Combine like terms: 22 + -8 = 14
-70 + 30x = 14 + 2x

Solving
-70 + 30x = 14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-70 + 30x + -2x = 14 + 2x + -2x

Combine like terms: 30x + -2x = 28x
-70 + 28x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-70 + 28x = 14 + 0
-70 + 28x = 14

Add '70' to each side of the equation.
-70 + 70 + 28x = 14 + 70

Combine like terms: -70 + 70 = 0
0 + 28x = 14 + 70
28x = 14 + 70

Combine like terms: 14 + 70 = 84
28x = 84

Divide each side by '28'.
x = 3

Simplifying
x = 3

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