7(x-4)=2(x-9)-25.5

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Solution for 7(x-4)=2(x-9)-25.5 equation:


Simplifying
7(x + -4) = 2(x + -9) + -25.5

Reorder the terms:
7(-4 + x) = 2(x + -9) + -25.5
(-4 * 7 + x * 7) = 2(x + -9) + -25.5
(-28 + 7x) = 2(x + -9) + -25.5

Reorder the terms:
-28 + 7x = 2(-9 + x) + -25.5
-28 + 7x = (-9 * 2 + x * 2) + -25.5
-28 + 7x = (-18 + 2x) + -25.5

Reorder the terms:
-28 + 7x = -18 + -25.5 + 2x

Combine like terms: -18 + -25.5 = -43.5
-28 + 7x = -43.5 + 2x

Solving
-28 + 7x = -43.5 + 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.
-28 + 7x + -2x = -43.5 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-28 + 5x = -43.5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-28 + 5x = -43.5 + 0
-28 + 5x = -43.5

Add '28' to each side of the equation.
-28 + 28 + 5x = -43.5 + 28

Combine like terms: -28 + 28 = 0
0 + 5x = -43.5 + 28
5x = -43.5 + 28

Combine like terms: -43.5 + 28 = -15.5
5x = -15.5

Divide each side by '5'.
x = -3.1

Simplifying
x = -3.1

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