33+4(x-3)=7x-12

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Solution for 33+4(x-3)=7x-12 equation:


Simplifying
33 + 4(x + -3) = 7x + -12

Reorder the terms:
33 + 4(-3 + x) = 7x + -12
33 + (-3 * 4 + x * 4) = 7x + -12
33 + (-12 + 4x) = 7x + -12

Combine like terms: 33 + -12 = 21
21 + 4x = 7x + -12

Reorder the terms:
21 + 4x = -12 + 7x

Solving
21 + 4x = -12 + 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.
21 + 4x + -7x = -12 + 7x + -7x

Combine like terms: 4x + -7x = -3x
21 + -3x = -12 + 7x + -7x

Combine like terms: 7x + -7x = 0
21 + -3x = -12 + 0
21 + -3x = -12

Add '-21' to each side of the equation.
21 + -21 + -3x = -12 + -21

Combine like terms: 21 + -21 = 0
0 + -3x = -12 + -21
-3x = -12 + -21

Combine like terms: -12 + -21 = -33
-3x = -33

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

Simplifying
x = 11

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