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

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


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

Reorder the terms:
-3(7 + 6x) + 7(2x + 5) = x
(7 * -3 + 6x * -3) + 7(2x + 5) = x
(-21 + -18x) + 7(2x + 5) = x

Reorder the terms:
-21 + -18x + 7(5 + 2x) = x
-21 + -18x + (5 * 7 + 2x * 7) = x
-21 + -18x + (35 + 14x) = x

Reorder the terms:
-21 + 35 + -18x + 14x = x

Combine like terms: -21 + 35 = 14
14 + -18x + 14x = x

Combine like terms: -18x + 14x = -4x
14 + -4x = x

Solving
14 + -4x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
14 + -4x + -1x = x + -1x

Combine like terms: -4x + -1x = -5x
14 + -5x = x + -1x

Combine like terms: x + -1x = 0
14 + -5x = 0

Add '-14' to each side of the equation.
14 + -14 + -5x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = 0 + -14
-5x = 0 + -14

Combine like terms: 0 + -14 = -14
-5x = -14

Divide each side by '-5'.
x = 2.8

Simplifying
x = 2.8

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