6(2x+7)-15(3x+11)=10(2x+8)-45

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Solution for 6(2x+7)-15(3x+11)=10(2x+8)-45 equation: 


Simplifying
6(2x + 7) + -15(3x + 11) = 10(2x + 8) + -45

Reorder the terms:
6(7 + 2x) + -15(3x + 11) = 10(2x + 8) + -45
(7 * 6 + 2x * 6) + -15(3x + 11) = 10(2x + 8) + -45
(42 + 12x) + -15(3x + 11) = 10(2x + 8) + -45

Reorder the terms:
42 + 12x + -15(11 + 3x) = 10(2x + 8) + -45
42 + 12x + (11 * -15 + 3x * -15) = 10(2x + 8) + -45
42 + 12x + (-165 + -45x) = 10(2x + 8) + -45

Reorder the terms:
42 + -165 + 12x + -45x = 10(2x + 8) + -45

Combine like terms: 42 + -165 = -123
-123 + 12x + -45x = 10(2x + 8) + -45

Combine like terms: 12x + -45x = -33x
-123 + -33x = 10(2x + 8) + -45

Reorder the terms:
-123 + -33x = 10(8 + 2x) + -45
-123 + -33x = (8 * 10 + 2x * 10) + -45
-123 + -33x = (80 + 20x) + -45

Reorder the terms:
-123 + -33x = 80 + -45 + 20x

Combine like terms: 80 + -45 = 35
-123 + -33x = 35 + 20x

Solving
-123 + -33x = 35 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-123 + -33x + -20x = 35 + 20x + -20x

Combine like terms: -33x + -20x = -53x
-123 + -53x = 35 + 20x + -20x

Combine like terms: 20x + -20x = 0
-123 + -53x = 35 + 0
-123 + -53x = 35

Add '123' to each side of the equation.
-123 + 123 + -53x = 35 + 123

Combine like terms: -123 + 123 = 0
0 + -53x = 35 + 123
-53x = 35 + 123

Combine like terms: 35 + 123 = 158
-53x = 158

Divide each side by '-53'.
x = -2.981132075

Simplifying
x = -2.981132075

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