5(3x+4)+4(2x-2)=127

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Solution for 5(3x+4)+4(2x-2)=127 equation:


Simplifying
5(3x + 4) + 4(2x + -2) = 127

Reorder the terms:
5(4 + 3x) + 4(2x + -2) = 127
(4 * 5 + 3x * 5) + 4(2x + -2) = 127
(20 + 15x) + 4(2x + -2) = 127

Reorder the terms:
20 + 15x + 4(-2 + 2x) = 127
20 + 15x + (-2 * 4 + 2x * 4) = 127
20 + 15x + (-8 + 8x) = 127

Reorder the terms:
20 + -8 + 15x + 8x = 127

Combine like terms: 20 + -8 = 12
12 + 15x + 8x = 127

Combine like terms: 15x + 8x = 23x
12 + 23x = 127

Solving
12 + 23x = 127

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 23x = 127 + -12

Combine like terms: 12 + -12 = 0
0 + 23x = 127 + -12
23x = 127 + -12

Combine like terms: 127 + -12 = 115
23x = 115

Divide each side by '23'.
x = 5

Simplifying
x = 5

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