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

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


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

Reorder the terms:
4(3 + 7x) + -5(5x + 2) = 2(3x + 5)
(3 * 4 + 7x * 4) + -5(5x + 2) = 2(3x + 5)
(12 + 28x) + -5(5x + 2) = 2(3x + 5)

Reorder the terms:
12 + 28x + -5(2 + 5x) = 2(3x + 5)
12 + 28x + (2 * -5 + 5x * -5) = 2(3x + 5)
12 + 28x + (-10 + -25x) = 2(3x + 5)

Reorder the terms:
12 + -10 + 28x + -25x = 2(3x + 5)

Combine like terms: 12 + -10 = 2
2 + 28x + -25x = 2(3x + 5)

Combine like terms: 28x + -25x = 3x
2 + 3x = 2(3x + 5)

Reorder the terms:
2 + 3x = 2(5 + 3x)
2 + 3x = (5 * 2 + 3x * 2)
2 + 3x = (10 + 6x)

Solving
2 + 3x = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 3x + -6x = 10 + 6x + -6x

Combine like terms: 3x + -6x = -3x
2 + -3x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -3x = 10 + 0
2 + -3x = 10

Add '-2' to each side of the equation.
2 + -2 + -3x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 10 + -2
-3x = 10 + -2

Combine like terms: 10 + -2 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

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