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

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


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

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

Reorder the terms:
-15 + -5x = 3x + -7 + 2(4 + 5x)
-15 + -5x = 3x + -7 + (4 * 2 + 5x * 2)
-15 + -5x = 3x + -7 + (8 + 10x)

Reorder the terms:
-15 + -5x = -7 + 8 + 3x + 10x

Combine like terms: -7 + 8 = 1
-15 + -5x = 1 + 3x + 10x

Combine like terms: 3x + 10x = 13x
-15 + -5x = 1 + 13x

Solving
-15 + -5x = 1 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-15 + -5x + -13x = 1 + 13x + -13x

Combine like terms: -5x + -13x = -18x
-15 + -18x = 1 + 13x + -13x

Combine like terms: 13x + -13x = 0
-15 + -18x = 1 + 0
-15 + -18x = 1

Add '15' to each side of the equation.
-15 + 15 + -18x = 1 + 15

Combine like terms: -15 + 15 = 0
0 + -18x = 1 + 15
-18x = 1 + 15

Combine like terms: 1 + 15 = 16
-18x = 16

Divide each side by '-18'.
x = -0.8888888889

Simplifying
x = -0.8888888889

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