3*(7x+3)-2*(-6+4x)=100

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Solution for 3*(7x+3)-2*(-6+4x)=100 equation: 


Simplifying
3(7x + 3) + -2(-6 + 4x) = 100

Reorder the terms:
3(3 + 7x) + -2(-6 + 4x) = 100
(3 * 3 + 7x * 3) + -2(-6 + 4x) = 100
(9 + 21x) + -2(-6 + 4x) = 100
9 + 21x + (-6 * -2 + 4x * -2) = 100
9 + 21x + (12 + -8x) = 100

Reorder the terms:
9 + 12 + 21x + -8x = 100

Combine like terms: 9 + 12 = 21
21 + 21x + -8x = 100

Combine like terms: 21x + -8x = 13x
21 + 13x = 100

Solving
21 + 13x = 100

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + 13x = 100 + -21

Combine like terms: 21 + -21 = 0
0 + 13x = 100 + -21
13x = 100 + -21

Combine like terms: 100 + -21 = 79
13x = 79

Divide each side by '13'.
x = 6.076923077

Simplifying
x = 6.076923077

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