49(46x+3)-6(13x+7)=149

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Solution for 49(46x+3)-6(13x+7)=149 equation:


Simplifying
49(46x + 3) + -6(13x + 7) = 149

Reorder the terms:
49(3 + 46x) + -6(13x + 7) = 149
(3 * 49 + 46x * 49) + -6(13x + 7) = 149
(147 + 2254x) + -6(13x + 7) = 149

Reorder the terms:
147 + 2254x + -6(7 + 13x) = 149
147 + 2254x + (7 * -6 + 13x * -6) = 149
147 + 2254x + (-42 + -78x) = 149

Reorder the terms:
147 + -42 + 2254x + -78x = 149

Combine like terms: 147 + -42 = 105
105 + 2254x + -78x = 149

Combine like terms: 2254x + -78x = 2176x
105 + 2176x = 149

Solving
105 + 2176x = 149

Solving for variable 'x'.

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

Add '-105' to each side of the equation.
105 + -105 + 2176x = 149 + -105

Combine like terms: 105 + -105 = 0
0 + 2176x = 149 + -105
2176x = 149 + -105

Combine like terms: 149 + -105 = 44
2176x = 44

Divide each side by '2176'.
x = 0.02022058824

Simplifying
x = 0.02022058824

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