6(2x-7)=15-7(-5x+9)

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Solution for 6(2x-7)=15-7(-5x+9) equation:


Simplifying
6(2x + -7) = 15 + -7(-5x + 9)

Reorder the terms:
6(-7 + 2x) = 15 + -7(-5x + 9)
(-7 * 6 + 2x * 6) = 15 + -7(-5x + 9)
(-42 + 12x) = 15 + -7(-5x + 9)

Reorder the terms:
-42 + 12x = 15 + -7(9 + -5x)
-42 + 12x = 15 + (9 * -7 + -5x * -7)
-42 + 12x = 15 + (-63 + 35x)

Combine like terms: 15 + -63 = -48
-42 + 12x = -48 + 35x

Solving
-42 + 12x = -48 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
-42 + 12x + -35x = -48 + 35x + -35x

Combine like terms: 12x + -35x = -23x
-42 + -23x = -48 + 35x + -35x

Combine like terms: 35x + -35x = 0
-42 + -23x = -48 + 0
-42 + -23x = -48

Add '42' to each side of the equation.
-42 + 42 + -23x = -48 + 42

Combine like terms: -42 + 42 = 0
0 + -23x = -48 + 42
-23x = -48 + 42

Combine like terms: -48 + 42 = -6
-23x = -6

Divide each side by '-23'.
x = 0.2608695652

Simplifying
x = 0.2608695652

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