4x-3(x-5)=-6+5x+7

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Solution for 4x-3(x-5)=-6+5x+7 equation: 


Simplifying
4x + -3(x + -5) = -6 + 5x + 7

Reorder the terms:
4x + -3(-5 + x) = -6 + 5x + 7
4x + (-5 * -3 + x * -3) = -6 + 5x + 7
4x + (15 + -3x) = -6 + 5x + 7

Reorder the terms:
15 + 4x + -3x = -6 + 5x + 7

Combine like terms: 4x + -3x = 1x
15 + 1x = -6 + 5x + 7

Reorder the terms:
15 + 1x = -6 + 7 + 5x

Combine like terms: -6 + 7 = 1
15 + 1x = 1 + 5x

Solving
15 + 1x = 1 + 5x

Solving for variable 'x'.

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

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

Combine like terms: 1x + -5x = -4x
15 + -4x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -4x = 1 + 0
15 + -4x = 1

Add '-15' to each side of the equation.
15 + -15 + -4x = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 1 + -15
-4x = 1 + -15

Combine like terms: 1 + -15 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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