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

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


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

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

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

Solving
-6 + 8x = -35 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-6 + 8x + -7x = -35 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-6 + 1x = -35 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + 1x = -35 + 0
-6 + 1x = -35

Add '6' to each side of the equation.
-6 + 6 + 1x = -35 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = -35 + 6
1x = -35 + 6

Combine like terms: -35 + 6 = -29
1x = -29

Divide each side by '1'.
x = -29

Simplifying
x = -29

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