2(x-14)-7(x-14)+16(x-14)=22

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Solution for 2(x-14)-7(x-14)+16(x-14)=22 equation:


Simplifying
2(x + -14) + -7(x + -14) + 16(x + -14) = 22

Reorder the terms:
2(-14 + x) + -7(x + -14) + 16(x + -14) = 22
(-14 * 2 + x * 2) + -7(x + -14) + 16(x + -14) = 22
(-28 + 2x) + -7(x + -14) + 16(x + -14) = 22

Reorder the terms:
-28 + 2x + -7(-14 + x) + 16(x + -14) = 22
-28 + 2x + (-14 * -7 + x * -7) + 16(x + -14) = 22
-28 + 2x + (98 + -7x) + 16(x + -14) = 22

Reorder the terms:
-28 + 2x + 98 + -7x + 16(-14 + x) = 22
-28 + 2x + 98 + -7x + (-14 * 16 + x * 16) = 22
-28 + 2x + 98 + -7x + (-224 + 16x) = 22

Reorder the terms:
-28 + 98 + -224 + 2x + -7x + 16x = 22

Combine like terms: -28 + 98 = 70
70 + -224 + 2x + -7x + 16x = 22

Combine like terms: 70 + -224 = -154
-154 + 2x + -7x + 16x = 22

Combine like terms: 2x + -7x = -5x
-154 + -5x + 16x = 22

Combine like terms: -5x + 16x = 11x
-154 + 11x = 22

Solving
-154 + 11x = 22

Solving for variable 'x'.

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

Add '154' to each side of the equation.
-154 + 154 + 11x = 22 + 154

Combine like terms: -154 + 154 = 0
0 + 11x = 22 + 154
11x = 22 + 154

Combine like terms: 22 + 154 = 176
11x = 176

Divide each side by '11'.
x = 16

Simplifying
x = 16

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