4x-7=3-2(3x-15)

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Solution for 4x-7=3-2(3x-15) equation:


Simplifying
4x + -7 = 3 + -2(3x + -15)

Reorder the terms:
-7 + 4x = 3 + -2(3x + -15)

Reorder the terms:
-7 + 4x = 3 + -2(-15 + 3x)
-7 + 4x = 3 + (-15 * -2 + 3x * -2)
-7 + 4x = 3 + (30 + -6x)

Combine like terms: 3 + 30 = 33
-7 + 4x = 33 + -6x

Solving
-7 + 4x = 33 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-7 + 4x + 6x = 33 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-7 + 10x = 33 + -6x + 6x

Combine like terms: -6x + 6x = 0
-7 + 10x = 33 + 0
-7 + 10x = 33

Add '7' to each side of the equation.
-7 + 7 + 10x = 33 + 7

Combine like terms: -7 + 7 = 0
0 + 10x = 33 + 7
10x = 33 + 7

Combine like terms: 33 + 7 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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