3x-35=7(x-9)

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Solution for 3x-35=7(x-9) equation:


Simplifying
3x + -35 = 7(x + -9)

Reorder the terms:
-35 + 3x = 7(x + -9)

Reorder the terms:
-35 + 3x = 7(-9 + x)
-35 + 3x = (-9 * 7 + x * 7)
-35 + 3x = (-63 + 7x)

Solving
-35 + 3x = -63 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-35 + 3x + -7x = -63 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-35 + -4x = -63 + 7x + -7x

Combine like terms: 7x + -7x = 0
-35 + -4x = -63 + 0
-35 + -4x = -63

Add '35' to each side of the equation.
-35 + 35 + -4x = -63 + 35

Combine like terms: -35 + 35 = 0
0 + -4x = -63 + 35
-4x = -63 + 35

Combine like terms: -63 + 35 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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