5x-3(x-5)=-7+4x+10

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Solution for 5x-3(x-5)=-7+4x+10 equation: 


Simplifying
5x + -3(x + -5) = -7 + 4x + 10

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

Reorder the terms:
15 + 5x + -3x = -7 + 4x + 10

Combine like terms: 5x + -3x = 2x
15 + 2x = -7 + 4x + 10

Reorder the terms:
15 + 2x = -7 + 10 + 4x

Combine like terms: -7 + 10 = 3
15 + 2x = 3 + 4x

Solving
15 + 2x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 2x + -4x = 3 + 4x + -4x

Combine like terms: 2x + -4x = -2x
15 + -2x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -2x = 3 + 0
15 + -2x = 3

Add '-15' to each side of the equation.
15 + -15 + -2x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 3 + -15
-2x = 3 + -15

Combine like terms: 3 + -15 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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