-7(3+x)=4(2x+6)

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Solution for -7(3+x)=4(2x+6) equation:


Simplifying
-7(3 + x) = 4(2x + 6)
(3 * -7 + x * -7) = 4(2x + 6)
(-21 + -7x) = 4(2x + 6)

Reorder the terms:
-21 + -7x = 4(6 + 2x)
-21 + -7x = (6 * 4 + 2x * 4)
-21 + -7x = (24 + 8x)

Solving
-21 + -7x = 24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-21 + -7x + -8x = 24 + 8x + -8x

Combine like terms: -7x + -8x = -15x
-21 + -15x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-21 + -15x = 24 + 0
-21 + -15x = 24

Add '21' to each side of the equation.
-21 + 21 + -15x = 24 + 21

Combine like terms: -21 + 21 = 0
0 + -15x = 24 + 21
-15x = 24 + 21

Combine like terms: 24 + 21 = 45
-15x = 45

Divide each side by '-15'.
x = -3

Simplifying
x = -3

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