5*(4x+13)-6*(5x-12)=5*7

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Solution for 5*(4x+13)-6*(5x-12)=5*7 equation: 


Simplifying
5(4x + 13) + -6(5x + -12) = 5 * 7

Reorder the terms:
5(13 + 4x) + -6(5x + -12) = 5 * 7
(13 * 5 + 4x * 5) + -6(5x + -12) = 5 * 7
(65 + 20x) + -6(5x + -12) = 5 * 7

Reorder the terms:
65 + 20x + -6(-12 + 5x) = 5 * 7
65 + 20x + (-12 * -6 + 5x * -6) = 5 * 7
65 + 20x + (72 + -30x) = 5 * 7

Reorder the terms:
65 + 72 + 20x + -30x = 5 * 7

Combine like terms: 65 + 72 = 137
137 + 20x + -30x = 5 * 7

Combine like terms: 20x + -30x = -10x
137 + -10x = 5 * 7

Multiply 5 * 7
137 + -10x = 35

Solving
137 + -10x = 35

Solving for variable 'x'.

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

Add '-137' to each side of the equation.
137 + -137 + -10x = 35 + -137

Combine like terms: 137 + -137 = 0
0 + -10x = 35 + -137
-10x = 35 + -137

Combine like terms: 35 + -137 = -102
-10x = -102

Divide each side by '-10'.
x = 10.2

Simplifying
x = 10.2

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