200-4(3x+3)=7x-78

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Solution for 200-4(3x+3)=7x-78 equation:


Simplifying
200 + -4(3x + 3) = 7x + -78

Reorder the terms:
200 + -4(3 + 3x) = 7x + -78
200 + (3 * -4 + 3x * -4) = 7x + -78
200 + (-12 + -12x) = 7x + -78

Combine like terms: 200 + -12 = 188
188 + -12x = 7x + -78

Reorder the terms:
188 + -12x = -78 + 7x

Solving
188 + -12x = -78 + 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.
188 + -12x + -7x = -78 + 7x + -7x

Combine like terms: -12x + -7x = -19x
188 + -19x = -78 + 7x + -7x

Combine like terms: 7x + -7x = 0
188 + -19x = -78 + 0
188 + -19x = -78

Add '-188' to each side of the equation.
188 + -188 + -19x = -78 + -188

Combine like terms: 188 + -188 = 0
0 + -19x = -78 + -188
-19x = -78 + -188

Combine like terms: -78 + -188 = -266
-19x = -266

Divide each side by '-19'.
x = 14

Simplifying
x = 14

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