2(3x-4)=10x+7

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Solution for 2(3x-4)=10x+7 equation:


Simplifying
2(3x + -4) = 10x + 7

Reorder the terms:
2(-4 + 3x) = 10x + 7
(-4 * 2 + 3x * 2) = 10x + 7
(-8 + 6x) = 10x + 7

Reorder the terms:
-8 + 6x = 7 + 10x

Solving
-8 + 6x = 7 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-8 + 6x + -10x = 7 + 10x + -10x

Combine like terms: 6x + -10x = -4x
-8 + -4x = 7 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + -4x = 7 + 0
-8 + -4x = 7

Add '8' to each side of the equation.
-8 + 8 + -4x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = 7 + 8
-4x = 7 + 8

Combine like terms: 7 + 8 = 15
-4x = 15

Divide each side by '-4'.
x = -3.75

Simplifying
x = -3.75

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