7(x-18)=3(x-14)

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Solution for 7(x-18)=3(x-14) equation:


Simplifying
7(x + -18) = 3(x + -14)

Reorder the terms:
7(-18 + x) = 3(x + -14)
(-18 * 7 + x * 7) = 3(x + -14)
(-126 + 7x) = 3(x + -14)

Reorder the terms:
-126 + 7x = 3(-14 + x)
-126 + 7x = (-14 * 3 + x * 3)
-126 + 7x = (-42 + 3x)

Solving
-126 + 7x = -42 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-126 + 7x + -3x = -42 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-126 + 4x = -42 + 3x + -3x

Combine like terms: 3x + -3x = 0
-126 + 4x = -42 + 0
-126 + 4x = -42

Add '126' to each side of the equation.
-126 + 126 + 4x = -42 + 126

Combine like terms: -126 + 126 = 0
0 + 4x = -42 + 126
4x = -42 + 126

Combine like terms: -42 + 126 = 84
4x = 84

Divide each side by '4'.
x = 21

Simplifying
x = 21

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