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

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


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

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

Reorder the terms:
-8 + 6x = 7(5 + 2x)
-8 + 6x = (5 * 7 + 2x * 7)
-8 + 6x = (35 + 14x)

Solving
-8 + 6x = 35 + 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 + 6x + -14x = 35 + 14x + -14x

Combine like terms: 6x + -14x = -8x
-8 + -8x = 35 + 14x + -14x

Combine like terms: 14x + -14x = 0
-8 + -8x = 35 + 0
-8 + -8x = 35

Add '8' to each side of the equation.
-8 + 8 + -8x = 35 + 8

Combine like terms: -8 + 8 = 0
0 + -8x = 35 + 8
-8x = 35 + 8

Combine like terms: 35 + 8 = 43
-8x = 43

Divide each side by '-8'.
x = -5.375

Simplifying
x = -5.375

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