2x-5(x-3)=-6+4x-7

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Solution for 2x-5(x-3)=-6+4x-7 equation: 


Simplifying
2x + -5(x + -3) = -6 + 4x + -7

Reorder the terms:
2x + -5(-3 + x) = -6 + 4x + -7
2x + (-3 * -5 + x * -5) = -6 + 4x + -7
2x + (15 + -5x) = -6 + 4x + -7

Reorder the terms:
15 + 2x + -5x = -6 + 4x + -7

Combine like terms: 2x + -5x = -3x
15 + -3x = -6 + 4x + -7

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

Combine like terms: -6 + -7 = -13
15 + -3x = -13 + 4x

Solving
15 + -3x = -13 + 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 + -3x + -4x = -13 + 4x + -4x

Combine like terms: -3x + -4x = -7x
15 + -7x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -7x = -13 + 0
15 + -7x = -13

Add '-15' to each side of the equation.
15 + -15 + -7x = -13 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -13 + -15
-7x = -13 + -15

Combine like terms: -13 + -15 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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