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

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


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

Reorder the terms:
7(-3 + 2x) = 5 + 4(x + -2)
(-3 * 7 + 2x * 7) = 5 + 4(x + -2)
(-21 + 14x) = 5 + 4(x + -2)

Reorder the terms:
-21 + 14x = 5 + 4(-2 + x)
-21 + 14x = 5 + (-2 * 4 + x * 4)
-21 + 14x = 5 + (-8 + 4x)

Combine like terms: 5 + -8 = -3
-21 + 14x = -3 + 4x

Solving
-21 + 14x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-21 + 14x + -4x = -3 + 4x + -4x

Combine like terms: 14x + -4x = 10x
-21 + 10x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + 10x = -3 + 0
-21 + 10x = -3

Add '21' to each side of the equation.
-21 + 21 + 10x = -3 + 21

Combine like terms: -21 + 21 = 0
0 + 10x = -3 + 21
10x = -3 + 21

Combine like terms: -3 + 21 = 18
10x = 18

Divide each side by '10'.
x = 1.8

Simplifying
x = 1.8

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