15-5(2x-7)=x-4

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Solution for 15-5(2x-7)=x-4 equation:


Simplifying
15 + -5(2x + -7) = x + -4

Reorder the terms:
15 + -5(-7 + 2x) = x + -4
15 + (-7 * -5 + 2x * -5) = x + -4
15 + (35 + -10x) = x + -4

Combine like terms: 15 + 35 = 50
50 + -10x = x + -4

Reorder the terms:
50 + -10x = -4 + x

Solving
50 + -10x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
50 + -10x + -1x = -4 + x + -1x

Combine like terms: -10x + -1x = -11x
50 + -11x = -4 + x + -1x

Combine like terms: x + -1x = 0
50 + -11x = -4 + 0
50 + -11x = -4

Add '-50' to each side of the equation.
50 + -50 + -11x = -4 + -50

Combine like terms: 50 + -50 = 0
0 + -11x = -4 + -50
-11x = -4 + -50

Combine like terms: -4 + -50 = -54
-11x = -54

Divide each side by '-11'.
x = 4.909090909

Simplifying
x = 4.909090909

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