7x=4(x-9)+3

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Solution for 7x=4(x-9)+3 equation:


Simplifying
7x = 4(x + -9) + 3

Reorder the terms:
7x = 4(-9 + x) + 3
7x = (-9 * 4 + x * 4) + 3
7x = (-36 + 4x) + 3

Reorder the terms:
7x = -36 + 3 + 4x

Combine like terms: -36 + 3 = -33
7x = -33 + 4x

Solving
7x = -33 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7x + -4x = -33 + 4x + -4x

Combine like terms: 7x + -4x = 3x
3x = -33 + 4x + -4x

Combine like terms: 4x + -4x = 0
3x = -33 + 0
3x = -33

Divide each side by '3'.
x = -11

Simplifying
x = -11

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