x-7=4(3x+5)

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Solution for x-7=4(3x+5) equation:


Simplifying
x + -7 = 4(3x + 5)

Reorder the terms:
-7 + x = 4(3x + 5)

Reorder the terms:
-7 + x = 4(5 + 3x)
-7 + x = (5 * 4 + 3x * 4)
-7 + x = (20 + 12x)

Solving
-7 + x = 20 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-7 + x + -12x = 20 + 12x + -12x

Combine like terms: x + -12x = -11x
-7 + -11x = 20 + 12x + -12x

Combine like terms: 12x + -12x = 0
-7 + -11x = 20 + 0
-7 + -11x = 20

Add '7' to each side of the equation.
-7 + 7 + -11x = 20 + 7

Combine like terms: -7 + 7 = 0
0 + -11x = 20 + 7
-11x = 20 + 7

Combine like terms: 20 + 7 = 27
-11x = 27

Divide each side by '-11'.
x = -2.454545455

Simplifying
x = -2.454545455

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