5x+2(3x-4)=14x-7

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Solution for 5x+2(3x-4)=14x-7 equation:


Simplifying
5x + 2(3x + -4) = 14x + -7

Reorder the terms:
5x + 2(-4 + 3x) = 14x + -7
5x + (-4 * 2 + 3x * 2) = 14x + -7
5x + (-8 + 6x) = 14x + -7

Reorder the terms:
-8 + 5x + 6x = 14x + -7

Combine like terms: 5x + 6x = 11x
-8 + 11x = 14x + -7

Reorder the terms:
-8 + 11x = -7 + 14x

Solving
-8 + 11x = -7 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-8 + 11x + -14x = -7 + 14x + -14x

Combine like terms: 11x + -14x = -3x
-8 + -3x = -7 + 14x + -14x

Combine like terms: 14x + -14x = 0
-8 + -3x = -7 + 0
-8 + -3x = -7

Add '8' to each side of the equation.
-8 + 8 + -3x = -7 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = -7 + 8
-3x = -7 + 8

Combine like terms: -7 + 8 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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