189=7x+7(4x-3)

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Solution for 189=7x+7(4x-3) equation:


Simplifying
189 = 7x + 7(4x + -3)

Reorder the terms:
189 = 7x + 7(-3 + 4x)
189 = 7x + (-3 * 7 + 4x * 7)
189 = 7x + (-21 + 28x)

Reorder the terms:
189 = -21 + 7x + 28x

Combine like terms: 7x + 28x = 35x
189 = -21 + 35x

Solving
189 = -21 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
189 + -35x = -21 + 35x + -35x

Combine like terms: 35x + -35x = 0
189 + -35x = -21 + 0
189 + -35x = -21

Add '-189' to each side of the equation.
189 + -189 + -35x = -21 + -189

Combine like terms: 189 + -189 = 0
0 + -35x = -21 + -189
-35x = -21 + -189

Combine like terms: -21 + -189 = -210
-35x = -210

Divide each side by '-35'.
x = 6

Simplifying
x = 6

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