-4.6(2x-5)+7=2(5x+9)

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Solution for -4.6(2x-5)+7=2(5x+9) equation:


Simplifying
-4.6(2x + -5) + 7 = 2(5x + 9)

Reorder the terms:
-4.6(-5 + 2x) + 7 = 2(5x + 9)
(-5 * -4.6 + 2x * -4.6) + 7 = 2(5x + 9)
(23 + -9.2x) + 7 = 2(5x + 9)

Reorder the terms:
23 + 7 + -9.2x = 2(5x + 9)

Combine like terms: 23 + 7 = 30
30 + -9.2x = 2(5x + 9)

Reorder the terms:
30 + -9.2x = 2(9 + 5x)
30 + -9.2x = (9 * 2 + 5x * 2)
30 + -9.2x = (18 + 10x)

Solving
30 + -9.2x = 18 + 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.
30 + -9.2x + -10x = 18 + 10x + -10x

Combine like terms: -9.2x + -10x = -19.2x
30 + -19.2x = 18 + 10x + -10x

Combine like terms: 10x + -10x = 0
30 + -19.2x = 18 + 0
30 + -19.2x = 18

Add '-30' to each side of the equation.
30 + -30 + -19.2x = 18 + -30

Combine like terms: 30 + -30 = 0
0 + -19.2x = 18 + -30
-19.2x = 18 + -30

Combine like terms: 18 + -30 = -12
-19.2x = -12

Divide each side by '-19.2'.
x = 0.625

Simplifying
x = 0.625

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