7(2x-1)-2(x-2)=7+4x

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Solution for 7(2x-1)-2(x-2)=7+4x equation:


Simplifying
7(2x + -1) + -2(x + -2) = 7 + 4x

Reorder the terms:
7(-1 + 2x) + -2(x + -2) = 7 + 4x
(-1 * 7 + 2x * 7) + -2(x + -2) = 7 + 4x
(-7 + 14x) + -2(x + -2) = 7 + 4x

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

Reorder the terms:
-7 + 4 + 14x + -2x = 7 + 4x

Combine like terms: -7 + 4 = -3
-3 + 14x + -2x = 7 + 4x

Combine like terms: 14x + -2x = 12x
-3 + 12x = 7 + 4x

Solving
-3 + 12x = 7 + 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.
-3 + 12x + -4x = 7 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-3 + 8x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 8x = 7 + 0
-3 + 8x = 7

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

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

Combine like terms: 7 + 3 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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