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

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


Simplifying
7 + -1(4x + -3) = 2(x + 4)

Reorder the terms:
7 + -1(-3 + 4x) = 2(x + 4)
7 + (-3 * -1 + 4x * -1) = 2(x + 4)
7 + (3 + -4x) = 2(x + 4)

Combine like terms: 7 + 3 = 10
10 + -4x = 2(x + 4)

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

Solving
10 + -4x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + -4x + -2x = 8 + 2x + -2x

Combine like terms: -4x + -2x = -6x
10 + -6x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -6x = 8 + 0
10 + -6x = 8

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

Combine like terms: 10 + -10 = 0
0 + -6x = 8 + -10
-6x = 8 + -10

Combine like terms: 8 + -10 = -2
-6x = -2

Divide each side by '-6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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