7(x+5)-3(2x+3)=33.8

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Solution for 7(x+5)-3(2x+3)=33.8 equation: 


Simplifying
7(x + 5) + -3(2x + 3) = 33.8

Reorder the terms:
7(5 + x) + -3(2x + 3) = 33.8
(5 * 7 + x * 7) + -3(2x + 3) = 33.8
(35 + 7x) + -3(2x + 3) = 33.8

Reorder the terms:
35 + 7x + -3(3 + 2x) = 33.8
35 + 7x + (3 * -3 + 2x * -3) = 33.8
35 + 7x + (-9 + -6x) = 33.8

Reorder the terms:
35 + -9 + 7x + -6x = 33.8

Combine like terms: 35 + -9 = 26
26 + 7x + -6x = 33.8

Combine like terms: 7x + -6x = 1x
26 + 1x = 33.8

Solving
26 + 1x = 33.8

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 1x = 33.8 + -26

Combine like terms: 26 + -26 = 0
0 + 1x = 33.8 + -26
1x = 33.8 + -26

Combine like terms: 33.8 + -26 = 7.8
1x = 7.8

Divide each side by '1'.
x = 7.8

Simplifying
x = 7.8

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