7(18-x)-6(3-5)=-7(7x+9)-3(2x+5)-12

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Solution for 7(18-x)-6(3-5)=-7(7x+9)-3(2x+5)-12 equation: 


Simplifying
7(18 + -1x) + -6(3 + -5) = -7(7x + 9) + -3(2x + 5) + -12
(18 * 7 + -1x * 7) + -6(3 + -5) = -7(7x + 9) + -3(2x + 5) + -12
(126 + -7x) + -6(3 + -5) = -7(7x + 9) + -3(2x + 5) + -12

Combine like terms: 3 + -5 = -2
126 + -7x + -6(-2) = -7(7x + 9) + -3(2x + 5) + -12

Multiply -6 * -2
126 + -7x + 12 = -7(7x + 9) + -3(2x + 5) + -12

Reorder the terms:
126 + 12 + -7x = -7(7x + 9) + -3(2x + 5) + -12

Combine like terms: 126 + 12 = 138
138 + -7x = -7(7x + 9) + -3(2x + 5) + -12

Reorder the terms:
138 + -7x = -7(9 + 7x) + -3(2x + 5) + -12
138 + -7x = (9 * -7 + 7x * -7) + -3(2x + 5) + -12
138 + -7x = (-63 + -49x) + -3(2x + 5) + -12

Reorder the terms:
138 + -7x = -63 + -49x + -3(5 + 2x) + -12
138 + -7x = -63 + -49x + (5 * -3 + 2x * -3) + -12
138 + -7x = -63 + -49x + (-15 + -6x) + -12

Reorder the terms:
138 + -7x = -63 + -15 + -12 + -49x + -6x

Combine like terms: -63 + -15 = -78
138 + -7x = -78 + -12 + -49x + -6x

Combine like terms: -78 + -12 = -90
138 + -7x = -90 + -49x + -6x

Combine like terms: -49x + -6x = -55x
138 + -7x = -90 + -55x

Solving
138 + -7x = -90 + -55x

Solving for variable 'x'.

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

Add '55x' to each side of the equation.
138 + -7x + 55x = -90 + -55x + 55x

Combine like terms: -7x + 55x = 48x
138 + 48x = -90 + -55x + 55x

Combine like terms: -55x + 55x = 0
138 + 48x = -90 + 0
138 + 48x = -90

Add '-138' to each side of the equation.
138 + -138 + 48x = -90 + -138

Combine like terms: 138 + -138 = 0
0 + 48x = -90 + -138
48x = -90 + -138

Combine like terms: -90 + -138 = -228
48x = -228

Divide each side by '48'.
x = -4.75

Simplifying
x = -4.75

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