13-5(2x-9)=-(-6x+10)+4

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Solution for 13-5(2x-9)=-(-6x+10)+4 equation:


Simplifying
13 + -5(2x + -9) = -1(-6x + 10) + 4

Reorder the terms:
13 + -5(-9 + 2x) = -1(-6x + 10) + 4
13 + (-9 * -5 + 2x * -5) = -1(-6x + 10) + 4
13 + (45 + -10x) = -1(-6x + 10) + 4

Combine like terms: 13 + 45 = 58
58 + -10x = -1(-6x + 10) + 4

Reorder the terms:
58 + -10x = -1(10 + -6x) + 4
58 + -10x = (10 * -1 + -6x * -1) + 4
58 + -10x = (-10 + 6x) + 4

Reorder the terms:
58 + -10x = -10 + 4 + 6x

Combine like terms: -10 + 4 = -6
58 + -10x = -6 + 6x

Solving
58 + -10x = -6 + 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.
58 + -10x + -6x = -6 + 6x + -6x

Combine like terms: -10x + -6x = -16x
58 + -16x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
58 + -16x = -6 + 0
58 + -16x = -6

Add '-58' to each side of the equation.
58 + -58 + -16x = -6 + -58

Combine like terms: 58 + -58 = 0
0 + -16x = -6 + -58
-16x = -6 + -58

Combine like terms: -6 + -58 = -64
-16x = -64

Divide each side by '-16'.
x = 4

Simplifying
x = 4

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