x-7=5(2x-4)

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


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

Reorder the terms:
-7 + x = 5(2x + -4)

Reorder the terms:
-7 + x = 5(-4 + 2x)
-7 + x = (-4 * 5 + 2x * 5)
-7 + x = (-20 + 10x)

Solving
-7 + x = -20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-7 + x + -10x = -20 + 10x + -10x

Combine like terms: x + -10x = -9x
-7 + -9x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-7 + -9x = -20 + 0
-7 + -9x = -20

Add '7' to each side of the equation.
-7 + 7 + -9x = -20 + 7

Combine like terms: -7 + 7 = 0
0 + -9x = -20 + 7
-9x = -20 + 7

Combine like terms: -20 + 7 = -13
-9x = -13

Divide each side by '-9'.
x = 1.444444444

Simplifying
x = 1.444444444

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