15-4(x-1)=2(x+7)

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Solution for 15-4(x-1)=2(x+7) equation:


Simplifying
15 + -4(x + -1) = 2(x + 7)

Reorder the terms:
15 + -4(-1 + x) = 2(x + 7)
15 + (-1 * -4 + x * -4) = 2(x + 7)
15 + (4 + -4x) = 2(x + 7)

Combine like terms: 15 + 4 = 19
19 + -4x = 2(x + 7)

Reorder the terms:
19 + -4x = 2(7 + x)
19 + -4x = (7 * 2 + x * 2)
19 + -4x = (14 + 2x)

Solving
19 + -4x = 14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
19 + -4x + -2x = 14 + 2x + -2x

Combine like terms: -4x + -2x = -6x
19 + -6x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
19 + -6x = 14 + 0
19 + -6x = 14

Add '-19' to each side of the equation.
19 + -19 + -6x = 14 + -19

Combine like terms: 19 + -19 = 0
0 + -6x = 14 + -19
-6x = 14 + -19

Combine like terms: 14 + -19 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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