5(3x+7)-7(2x-8)=105

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Solution for 5(3x+7)-7(2x-8)=105 equation:


Simplifying
5(3x + 7) + -7(2x + -8) = 105

Reorder the terms:
5(7 + 3x) + -7(2x + -8) = 105
(7 * 5 + 3x * 5) + -7(2x + -8) = 105
(35 + 15x) + -7(2x + -8) = 105

Reorder the terms:
35 + 15x + -7(-8 + 2x) = 105
35 + 15x + (-8 * -7 + 2x * -7) = 105
35 + 15x + (56 + -14x) = 105

Reorder the terms:
35 + 56 + 15x + -14x = 105

Combine like terms: 35 + 56 = 91
91 + 15x + -14x = 105

Combine like terms: 15x + -14x = 1x
91 + 1x = 105

Solving
91 + 1x = 105

Solving for variable 'x'.

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

Add '-91' to each side of the equation.
91 + -91 + 1x = 105 + -91

Combine like terms: 91 + -91 = 0
0 + 1x = 105 + -91
1x = 105 + -91

Combine like terms: 105 + -91 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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