5(7x+3)-2(5x-4)=-3(3-5x)

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Solution for 5(7x+3)-2(5x-4)=-3(3-5x) equation:


Simplifying
5(7x + 3) + -2(5x + -4) = -3(3 + -5x)

Reorder the terms:
5(3 + 7x) + -2(5x + -4) = -3(3 + -5x)
(3 * 5 + 7x * 5) + -2(5x + -4) = -3(3 + -5x)
(15 + 35x) + -2(5x + -4) = -3(3 + -5x)

Reorder the terms:
15 + 35x + -2(-4 + 5x) = -3(3 + -5x)
15 + 35x + (-4 * -2 + 5x * -2) = -3(3 + -5x)
15 + 35x + (8 + -10x) = -3(3 + -5x)

Reorder the terms:
15 + 8 + 35x + -10x = -3(3 + -5x)

Combine like terms: 15 + 8 = 23
23 + 35x + -10x = -3(3 + -5x)

Combine like terms: 35x + -10x = 25x
23 + 25x = -3(3 + -5x)
23 + 25x = (3 * -3 + -5x * -3)
23 + 25x = (-9 + 15x)

Solving
23 + 25x = -9 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
23 + 25x + -15x = -9 + 15x + -15x

Combine like terms: 25x + -15x = 10x
23 + 10x = -9 + 15x + -15x

Combine like terms: 15x + -15x = 0
23 + 10x = -9 + 0
23 + 10x = -9

Add '-23' to each side of the equation.
23 + -23 + 10x = -9 + -23

Combine like terms: 23 + -23 = 0
0 + 10x = -9 + -23
10x = -9 + -23

Combine like terms: -9 + -23 = -32
10x = -32

Divide each side by '10'.
x = -3.2

Simplifying
x = -3.2

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